A Survey of Mathematics with Applications (11th Edition)

Chapter 9

Verified Answer ✓

Binary ; Addition, subtraction, division, and ... more

Verified Answer ✓

Single ; When a binary operation is performed on ... more

Verified Answer ✓

Closed ; If a binary operation is performed on two... more

Verified Answer ✓

Counterexample ; Counterexample is an example that... more

Verified Answer ✓

Identity ; When anadditive element is added with ... more

Verified Answer ✓

Multiplicative ; When anelement is multiplied with... more

Verified Answer ✓

Inverse ; Consider two numbers and.Add the ... more

Verified Answer ✓

Group ; The mathematical system that satisfies the... more

Verified Answer ✓

Commutative ; The result of a binary operation on ... more

Verified Answer ✓

Abelian ; The result of a binary operation on two ... more

Verified Answer ✓

For two elements, the addition commutative ... more

Verified Answer ✓

For two elements of the set, the multiplication ... more

Verified Answer ✓

For three elements of the set, multiplication ... more

Verified Answer ✓

For three elements of the set, addition ... more

Verified Answer ✓

; The result of binary operation on two elements ... more

Verified Answer ✓

; The result of binary operation on two elements ... more

Verified Answer ✓

; Associative property of division states that if... more

Verified Answer ✓

; Associative property of subtraction states that... more

Verified Answer ✓

Yes, all the four properties to form a group which... more

Verified Answer ✓

Yes, all the five condition to form a group which ... more

Verified Answer ✓

No, the closure property is not satisfied which ... more

Verified Answer ✓

No, the closure property is not satisfied which ... more

Verified Answer ✓

Yes, all the five condition to form a group which ... more

Verified Answer ✓

No ; The whole numbers include the numbers shown ... more

Verified Answer ✓

No ; The negative integers include the numbers ... more

Verified Answer ✓

No ; Integers include the numbers shown in the set... more

Verified Answer ✓

No ; Rational numbers include the numbers that are... more

Verified Answer ✓

No ; Rational numbers include the numbers that are... more

Verified Answer ✓

No ; Irrational numbers are the set of real number... more

Verified Answer ✓

No ; Irrational numbers are the set of real number... more

Verified Answer ✓

The set of rational numbers is a group under ... more

Verified Answer ✓

; The set of clock 12 arithmetic with elements of... more

Verified Answer ✓

Closed ; If the binary operation performed on two ... more

Verified Answer ✓

Identity ; Identity element is a special type of ... more

Verified Answer ✓

Inverse ; 12 is the additive identity of clock 12 ... more

Verified Answer ✓

Associative ; In the mathematical system, if the ... more

Verified Answer ✓

Commutative ; If the result of binary operation of... more

Verified Answer ✓

Commutative ; If a group with binary operation ... more

Verified Answer ✓

Associative ; If every element does not appear in ... more

Verified Answer ✓

Commutative ; The result of binary operation of 2 ... more

Verified Answer ✓

Non-abelian  ; A group with binary operation is ... more

Verified Answer ✓

3 ; The sum follows commutative property.Refer to ... more

Verified Answer ✓

6 ; The sum follows commutative property.Refer to ... more

Verified Answer ✓

4 ; The sum follows commutative property.Refer to ... more

Verified Answer ✓

12 ; The sum follows commutative property.Refer to... more

Verified Answer ✓

8 ; Refer to the table and find the value placed ... more

Verified Answer ✓

9 ; Refer to the table and find the value placed ... more

Verified Answer ✓

; Let the time be 4 o'clock. To find the time 10 ... more

Verified Answer ✓

; Let the time be 1 o'clock. To find the time 12 ... more

Verified Answer ✓

; Let the time be 6 o'clock. To find the time 10 ... more

Verified Answer ✓

; Let the time be 5 o'clock. To find the time 8 ... more

Verified Answer ✓

; Let the time be 5 o'clock. To find the time 5 ... more

Verified Answer ✓

; Let the time be 12 o'clock. To find the time 12... more

Verified Answer ✓

123456123456123456123456123456123456123456123456... more

Verified Answer ✓

; Let the time be 4 o'clock. To find the time ... more

Verified Answer ✓

; Let the time be 5 o'clock. To find the time 2 ... more

Verified Answer ✓

; Let the time be 4 o'clock. To find the time 5 ... more

Verified Answer ✓

; Let the time be 3 o'clock. To find the time 5 ... more

Verified Answer ✓

; Let the time be 1 o'clock. To find the time 3 ... more

Verified Answer ✓

6 ; Let the time be 6 o'clock. To find the time ... more

Verified Answer ✓

3 ; Generate the table of clock 7 arithmetic under... more

Verified Answer ✓

6 ; Generate a table of clock 7 arithmetic under ... more

Verified Answer ✓

7 ; Generate a table of clock 7 arithmetic under ... more

Verified Answer ✓

7 ; Generate a table of clock 7 arithmetic under ... more

Verified Answer ✓

The clock 7 arithmetic system is a commutative ... more

Verified Answer ✓

Closure propertyAssociative property ; Check the ... more

Verified Answer ✓

Associative propertyCommutative property ; Let the... more

Verified Answer ✓

InverseAssociative property ; Check the five ... more

Verified Answer ✓

Commutative propertyAssociative property ; Let the... more

Verified Answer ✓

Inverse of 0, 2, 3, and 5 does not exist. ; Let ... more

Verified Answer ✓

In the practice of medicine, the 24-hour clock is ... more

Verified Answer ✓

; For instance, the set of elements in a modulo 5... more

Verified Answer ✓

binary ; A binary operation is an operation that ... more

Verified Answer ✓

remainder ;  Modulus classes are the set of ... more

Verified Answer ✓

modulus ; In a modulo system, a solution, if ... more

Verified Answer ✓

congruent ; By the definition of congruent, if two... more

Verified Answer ✓

divide ; By the definition of congruent, if any ... more

Verified Answer ✓

Day F ; Assume the number of days in a week as a ... more

Verified Answer ✓

Day SU ; Divide 1095 by 7 to find the remainder., ... more

Verified Answer ✓

Day F ; Divide 400 by 7 to find the remainder., ... more

Verified Answer ✓

Month AU ;  Divide   to find the remainder., ... more

Verified Answer ✓

Month JU ; Divide  by 12 to find the remainder., ... more

Verified Answer ✓

Month S ; Divide 83 by 12 to find the remainder., ... more

Verified Answer ✓

Month O ; Divide  by 12 to find the remainder., ... more

Verified Answer ✓

Month JUL ; Assume 12 month as a modulo 12 ... more

Verified Answer ✓

Month JUL ; Assume the given system as a modulo 12... more

Verified Answer ✓

; The difference of the given numbers is .7 does ... more

Verified Answer ✓

; The product of the given numbers is .72 does ... more

Verified Answer ✓

; The product of the given numbers is .56 does ... more

Verified Answer ✓

; Add 5 or any multiple of 5 in modulo 5.Their ... more

Verified Answer ✓

; Add 5 or any multiple of 5 in modulo 5.Their ... more

Verified Answer ✓

; Perform the indicated operate in the ... more

Verified Answer ✓

; The difference is , and the product of the ... more

Verified Answer ✓

1 ; Divide 43 by 6 to determine the number that is... more

Verified Answer ✓

5 ; Divide 41 by 9 to determine the number that is... more

Verified Answer ✓

5 ; Divide 75 by 8 to determine the number that is... more

Verified Answer ✓

; Add 7 or a multiple of 7 to a number in modulo ... more

Verified Answer ✓

; Add 4 or a multiple of 4 to a number in modulo ... more

Verified Answer ✓

; Add 8 or a multiple of 8 to a number in modulo ... more

Verified Answer ✓

; Add 7 or any multiple of 7 in modulo 7.Their ... more

Verified Answer ✓

4 ; Adding 4 to 5 yields 9 and 9 is congruent to 3... more

Verified Answer ✓

4 ; Adding 4 to 3 yields 7 and 7 is congruent to 2... more

Verified Answer ✓

3 ; Adding 3 to 6 yields 9 and 9 is congruent to 2... more

Verified Answer ✓

5 ; Adding 5 to 4 gives 9 and 9 is congruent to 3 ... more

Verified Answer ✓

5 ; In modulo 6, adding 6 or a multiple of 6 to a ... more

Verified Answer ✓

5 ; In modulo 9, adding 9 or a multiple of 9 to a ... more

Verified Answer ✓

5 ; To determine the solution, replace the ... more

Verified Answer ✓

6 ; To determine the solution, replace the ... more

Verified Answer ✓

No solution ; Replace the question mark with the ... more

Verified Answer ✓

No solution ; Replace the question mark with the ... more

Verified Answer ✓

; Replace the question mark with the numbers 0, 1... more

Verified Answer ✓

; Replace the question mark with the numbers 0, 1... more

Verified Answer ✓

5 ; Add 12 to the given problem so that the given ... more

Verified Answer ✓

7 ; Add 12 to the left side of the given problem ... more

Verified Answer ✓

2 ; Use the property , which  means .The digit 12 ... more

Verified Answer ✓

; Use the property, whichmeans. Divide 24 by 7 ... more

Verified Answer ✓

; Assume (mod m).Replace the question mark with ... more

Verified Answer ✓

; Use the relation (mod m), which means(mod m), ... more

Verified Answer ✓

0 ; Replace with number 1.Determine the ... more

Verified Answer ✓

1 ; Replace with number 1.Determine the ... more

Verified Answer ✓

2 ; Replace with number 1.Determine the ... more

Verified Answer ✓

; Write the congruent relation by using the given... more

Verified Answer ✓

KNOWLEDGE IS POWER ; Use the coding circle to find... more

Verified Answer ✓

; Determine the number of rotations of wheel in a... more

Verified Answer ✓

 The Enigma machine was used to encode and decode ... more

Verified Answer ✓

 Gauss created the method of congruences, its ... more

Verified Answer ✓

Matrix ; A matrix is defined as a collection of ... more

Verified Answer ✓

Square matrix ; Every matrix consists of rows and ... more

Verified Answer ✓

; The notation is used to express the dimension ... more

Verified Answer ✓

; The notation is used to express the dimension ... more

Verified Answer ✓

Dimensions ; Two or more matrices can only be ... more

Verified Answer ✓

Scalar ; The product of a matrix and a real number... more

Verified Answer ✓

Columns ; To multiply two matrices, it is ... more

Verified Answer ✓

Group  ; There are five properties of matrix ... more

Verified Answer ✓

; Substitute for and for into the expression ... more

Verified Answer ✓

; Substitute for and for into the expression ... more

Verified Answer ✓

; Substitute for and for into .  ; more

Verified Answer ✓

; Substitute for and for into .  ; more

Verified Answer ✓

; Multiply each entry of matrix by 2. ; Multiply... more

Verified Answer ✓

; Multiply each entry of matrix by 3. ; Multiply... more

Verified Answer ✓

; Substitute as and as into to find the ... more

Verified Answer ✓

; Substitute as and as into to find the ... more

Verified Answer ✓

; Substitute as and as into to find the ... more

Verified Answer ✓

; Substitute as and as into to find the ... more

Verified Answer ✓

; The given matrices and have the same ... more

Verified Answer ✓

; The given matrices, and, have the same ... more

Verified Answer ✓

;Multiplication cannot be performed as the number ... more

Verified Answer ✓

;Multiplication cannot be performed as the number ... more

Verified Answer ✓

Addition cannot be performed as the dimensions of ... more

Verified Answer ✓

Addition cannot be performed as the dimensions of ... more

Verified Answer ✓

Addition cannot be performed as the dimensions of ... more

Verified Answer ✓

Addition cannot be performed as the dimensions of ... more

Verified Answer ✓

Entire Proof Answer: Substitute for and for ... more

Verified Answer ✓

Entire Proof Answer: Substitute for and for ... more

Verified Answer ✓

Entire Proof Answer: Substitute for and for ... more

Verified Answer ✓

Entire Proof Answer: Substitute for , for , and... more

Verified Answer ✓

Entire Proof Answer: Substitute for, for, and ... more

Verified Answer ✓

Entire Proof Answer: Substitute for , for , and... more

Verified Answer ✓

Entire Proof Answer: Substitute for , for , and... more

Verified Answer ✓

No ; Substitute for and for into. ; Substitute... more

Verified Answer ✓

Yes ; Substitute for and for into . ; ... more

Verified Answer ✓

Yes ; Substitute for and for into . ; ... more

Verified Answer ✓

Entire Proof Answer: Substitute as , as, and as... more

Verified Answer ✓

Entire Proof Answer: Substitute as , as, and as... more

Verified Answer ✓

Entire Proof Answer: Substitute as, as , and as... more

Verified Answer ✓

Entire Proof Answer: Substitute as, as, and as ... more

Verified Answer ✓

; Add the given matrices and .The first column ... more

Verified Answer ✓

; Subtract the given matrix from matrix . The ... more

Verified Answer ✓

; Multiply the given matrix with matrix to find... more

Verified Answer ✓

; Assume to be the matrix showing a typical day’... more

Verified Answer ✓

; Substitute for and for and perform matrix ... more

Verified Answer ✓

Entire Proof Answer: Let and be two matrices ... more

Verified Answer ✓

Entire Proof Answer: Assume, , and to be the ... more

Verified Answer ✓

Yes ; Assume and to be two matrices, and , ... more

Verified Answer ✓

Entire Proof Answer: Assume , , and to be three ... more

Verified Answer ✓

Entire Proof Answer: Substitute for and for ... more

Verified Answer ✓

The multiplication of the inverse of coefficient ... more

Verified Answer ✓

Assume a scenario where a Person K runs three ... more

Verified Answer ✓

The method of protecting information and ... more

Verified Answer ✓

A binary operation is the mathematical calculation... more

Verified Answer ✓

Set of elementsBinary operation ; There are 2 ... more

Verified Answer ✓

No, as the division of two whole numbers is not ... more

Verified Answer ✓

Yes, as the difference of any two real numbers is ... more

Verified Answer ✓

9 ; Generate the table of clock 12 arithmetic ... more

Verified Answer ✓

Closure: If the binary operation result the ... more

Verified Answer ✓

Yes, as a set of integers satisfies all the four ... more

Verified Answer ✓

A set of integers under a multiplication does not ... more

Verified Answer ✓

No; the absence of identity element and inverse ... more

Verified Answer ✓

No, the absence of inverse element implies they do... more

Verified Answer ✓

Identity element and inverse element ; The ... more

Verified Answer ✓

Inverse element propertyAssociative property ; The... more

Verified Answer ✓

Associative Property ; The mathematical system can... more

Verified Answer ✓

; In Modulo System, the solution will be in the ... more

Verified Answer ✓

; In Modulo System, the solution will be in the ... more

Verified Answer ✓

; In Modulo System, the solution will be in the ... more

Verified Answer ✓

; The sum is equal to 7, which are not in the set... more

Verified Answer ✓

; Add 7 to the given problem so that the given ... more

Verified Answer ✓

3 ; Replace the question mark with the numbers 0, ... more

Verified Answer ✓

; Replace the question mark with the numbers 0, 1... more

Verified Answer ✓

4 ; The product is equal to 70, which are not in ... more

Verified Answer ✓

9 ; Replace the question mark with the numbers 0, ... more

Verified Answer ✓

No solution. ; Replace the question mark with the ... more

Verified Answer ✓

; Replace the question mark with the numbers 0, 1... more

Verified Answer ✓

+012345001234511234502234501334501244501235501234... more

Verified Answer ✓

012300000101232020230321Not Commutative group. ; ... more

Verified Answer ✓

;  Both the matrices have 2 rows and 2 columns, ... more

Verified Answer ✓

; Both the matrices have 2 rows and 2 columns, so... more

Verified Answer ✓

; Calculate the value of the matrix by ... more

Verified Answer ✓

; Matrix contains 2 columns and matrix contains... more

Verified Answer ✓

; Matrix contains 2 columns and matrix contains ... more

Verified Answer ✓

A system that consists of a set of elements with ... more

Verified Answer ✓

ClosureAssociativityIdentity elementInverse ... more

Verified Answer ✓

Yes, the set of integers satisfies all the 4 ... more

Verified Answer ✓

No, the set of integers are not commutative, ... more

Verified Answer ✓

+12345123451234512345123451234512345 ; Draw clock ... more

Verified Answer ✓

Yes ; A set of integers consists of 0, positive ... more

Verified Answer ✓

The mathematical system is not a commutative group... more

Verified Answer ✓

The mathematical system is a commutative group. ; ... more

Verified Answer ✓

The mathematical system is a commutative group. ; ... more

Verified Answer ✓

4 ; As the working modulo is modulo 6, replace the... more

Verified Answer ✓

; It is known that  as .Determine the positive ... more

Verified Answer ✓

; Add 9 to the number 3 as it will not change ... more

Verified Answer ✓

No solution ; As the working modulo is modulo 6, ... more

Back to Top

Log In

Contact Us

Upload An Image

Please select an image to upload
Note: must be in .png, .gif or .jpg format
OR
Provide URL where image can be downloaded
Note: must be in .png, .gif or .jpg format

By clicking this button,
you agree to the terms of use

By clicking "Create Alert" I agree to the Uloop Terms of Use.

Image not available.

Add a Photo

Please select a photo to upload
Note: must be in .png, .gif or .jpg format