The matrix of A + B .

Question

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Answer 1

Question

Chapter B, Problem 1E

(a)

To determine

To find: The matrix of A+B.

(a)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [2112−1]_.

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be added when they have same order.

Compute the matrix A+B as follows.

A+B=[45 −69]+[−26 8−10]=[4+(−2)5+6(−6)+89+(−10)]=[2112−1]

Thus, the result after performing the indicated operation of addition is [2112−1]_.

(b)

To determine

To find: The matrix of B−A.

(b)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [−6114−19].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be subtracted when they have same order.

Compute the matrix B−A as follows.

B−A=[−268−10] −[45−69]=[(−2)−46−58−(−6)(−10)−9]=[−6114−19]

Thus the result after performing the indicated operation is [−6114−19].

(c)

To determine

To find: The matrix of 2A+3B.

(c)

Expert Solution

Answer to Problem 1E

The matrix of 2A+3B is [22812−12].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

Multiply each term of the matrix A by a scalar value 2 to get the matrix 2A.

2[45−69]=[2⋅ 42⋅ 52(−6)2⋅ 9]= [810−1218]

Similarly, multiply each term of the matrix B by a scalar value 3 to get the matrix 3B.

3[−268−10]=[3(−2)3⋅ 63⋅ 83(−10)]=[−61824−30]

It is known that two or more matrices can be added when they have same order.

Now, add 2A and 3B to get the result of matrix 2A+3B as follows.

2A+3B=[810−1218]+[−61824−30]=[8+(−6)10+18(−12)+2418+(−30)]=[22812−12]

Thus, the matrix of 2A+3B is [22812−12].

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Answer 2

Question

Chapter B, Problem 1E

(a)

To determine

To find: The matrix of A+B.

(a)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [2112−1]_.

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be added when they have same order.

Compute the matrix A+B as follows.

A+B=[45 −69]+[−26 8−10]=[4+(−2)5+6(−6)+89+(−10)]=[2112−1]

Thus, the result after performing the indicated operation of addition is [2112−1]_.

(b)

To determine

To find: The matrix of B−A.

(b)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [−6114−19].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be subtracted when they have same order.

Compute the matrix B−A as follows.

B−A=[−268−10] −[45−69]=[(−2)−46−58−(−6)(−10)−9]=[−6114−19]

Thus the result after performing the indicated operation is [−6114−19].

(c)

To determine

To find: The matrix of 2A+3B.

(c)

Expert Solution

Answer to Problem 1E

The matrix of 2A+3B is [22812−12].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

Multiply each term of the matrix A by a scalar value 2 to get the matrix 2A.

2[45−69]=[2⋅ 42⋅ 52(−6)2⋅ 9]= [810−1218]

Similarly, multiply each term of the matrix B by a scalar value 3 to get the matrix 3B.

3[−268−10]=[3(−2)3⋅ 63⋅ 83(−10)]=[−61824−30]

It is known that two or more matrices can be added when they have same order.

Now, add 2A and 3B to get the result of matrix 2A+3B as follows.

2A+3B=[810−1218]+[−61824−30]=[8+(−6)10+18(−12)+2418+(−30)]=[22812−12]

Thus, the matrix of 2A+3B is [22812−12].

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Answer 3

Question

Chapter B, Problem 1E

(a)

To determine

To find: The matrix of A+B.

(a)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [2112−1]_.

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be added when they have same order.

Compute the matrix A+B as follows.

A+B=[45 −69]+[−26 8−10]=[4+(−2)5+6(−6)+89+(−10)]=[2112−1]

Thus, the result after performing the indicated operation of addition is [2112−1]_.

(b)

To determine

To find: The matrix of B−A.

(b)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [−6114−19].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be subtracted when they have same order.

Compute the matrix B−A as follows.

B−A=[−268−10] −[45−69]=[(−2)−46−58−(−6)(−10)−9]=[−6114−19]

Thus the result after performing the indicated operation is [−6114−19].

(c)

To determine

To find: The matrix of 2A+3B.

(c)

Expert Solution

Answer to Problem 1E

The matrix of 2A+3B is [22812−12].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

Multiply each term of the matrix A by a scalar value 2 to get the matrix 2A.

2[45−69]=[2⋅ 42⋅ 52(−6)2⋅ 9]= [810−1218]

Similarly, multiply each term of the matrix B by a scalar value 3 to get the matrix 3B.

3[−268−10]=[3(−2)3⋅ 63⋅ 83(−10)]=[−61824−30]

It is known that two or more matrices can be added when they have same order.

Now, add 2A and 3B to get the result of matrix 2A+3B as follows.

2A+3B=[810−1218]+[−61824−30]=[8+(−6)10+18(−12)+2418+(−30)]=[22812−12]

Thus, the matrix of 2A+3B is [22812−12].

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Answer 4

Question

Chapter B, Problem 1E

(a)

To determine

To find: The matrix of A+B.

(a)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [2112−1]_.

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be added when they have same order.

Compute the matrix A+B as follows.

A+B=[45 −69]+[−26 8−10]=[4+(−2)5+6(−6)+89+(−10)]=[2112−1]

Thus, the result after performing the indicated operation of addition is [2112−1]_.

(b)

To determine

To find: The matrix of B−A.

(b)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [−6114−19].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be subtracted when they have same order.

Compute the matrix B−A as follows.

B−A=[−268−10] −[45−69]=[(−2)−46−58−(−6)(−10)−9]=[−6114−19]

Thus the result after performing the indicated operation is [−6114−19].

(c)

To determine

To find: The matrix of 2A+3B.

(c)

Expert Solution

Answer to Problem 1E

The matrix of 2A+3B is [22812−12].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

Multiply each term of the matrix A by a scalar value 2 to get the matrix 2A.

2[45−69]=[2⋅ 42⋅ 52(−6)2⋅ 9]= [810−1218]

Similarly, multiply each term of the matrix B by a scalar value 3 to get the matrix 3B.

3[−268−10]=[3(−2)3⋅ 63⋅ 83(−10)]=[−61824−30]

It is known that two or more matrices can be added when they have same order.

Now, add 2A and 3B to get the result of matrix 2A+3B as follows.

2A+3B=[810−1218]+[−61824−30]=[8+(−6)10+18(−12)+2418+(−30)]=[22812−12]

Thus, the matrix of 2A+3B is [22812−12].

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Answer 5

Chapter B, Problem 1E

(a)

To determine

To find: The matrix of A+B.

(a)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [2112−1]_.

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be added when they have same order.

Compute the matrix A+B as follows.

A+B=[45 −69]+[−26 8−10]=[4+(−2)5+6(−6)+89+(−10)]=[2112−1]

Thus, the result after performing the indicated operation of addition is [2112−1]_.

(b)

To determine

To find: The matrix of B−A.

(b)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [−6114−19].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be subtracted when they have same order.

Compute the matrix B−A as follows.

B−A=[−268−10] −[45−69]=[(−2)−46−58−(−6)(−10)−9]=[−6114−19]

Thus the result after performing the indicated operation is [−6114−19].

(c)

To determine

To find: The matrix of 2A+3B.

(c)

Expert Solution

Answer to Problem 1E

The matrix of 2A+3B is [22812−12].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

Multiply each term of the matrix A by a scalar value 2 to get the matrix 2A.

2[45−69]=[2⋅ 42⋅ 52(−6)2⋅ 9]= [810−1218]

Similarly, multiply each term of the matrix B by a scalar value 3 to get the matrix 3B.

3[−268−10]=[3(−2)3⋅ 63⋅ 83(−10)]=[−61824−30]

It is known that two or more matrices can be added when they have same order.

Now, add 2A and 3B to get the result of matrix 2A+3B as follows.

2A+3B=[810−1218]+[−61824−30]=[8+(−6)10+18(−12)+2418+(−30)]=[22812−12]

Thus, the matrix of 2A+3B is [22812−12].

Answer 6

Chapter B, Problem 1E

(a)

To determine

To find: The matrix of A+B.

(a)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [2112−1]_.

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be added when they have same order.

Compute the matrix A+B as follows.

A+B=[45 −69]+[−26 8−10]=[4+(−2)5+6(−6)+89+(−10)]=[2112−1]

Thus, the result after performing the indicated operation of addition is [2112−1]_.

Answer 7

Chapter B, Problem 1E

(a)

To determine

To find: The matrix of A+B.

Answer 8

(a)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [2112−1]_.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be added when they have same order.

Compute the matrix A+B as follows.

A+B=[45 −69]+[−26 8−10]=[4+(−2)5+6(−6)+89+(−10)]=[2112−1]

Thus, the result after performing the indicated operation of addition is [2112−1]_.

Answer 13

(b)

To determine

To find: The matrix of B−A.

(b)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [−6114−19].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be subtracted when they have same order.

Compute the matrix B−A as follows.

B−A=[−268−10] −[45−69]=[(−2)−46−58−(−6)(−10)−9]=[−6114−19]

Thus the result after performing the indicated operation is [−6114−19].

Answer 14

(b)

To determine

To find: The matrix of B−A.

Answer 15

(b)

Expert Solution

Answer to Problem 1E

The result after performing the indicated operation of addition is [−6114−19].

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

It is known that two or more matrices can be subtracted when they have same order.

Compute the matrix B−A as follows.

B−A=[−268−10] −[45−69]=[(−2)−46−58−(−6)(−10)−9]=[−6114−19]

Thus the result after performing the indicated operation is [−6114−19].

Answer 20

(c)

To determine

To find: The matrix of 2A+3B.

(c)

Expert Solution

Answer to Problem 1E

The matrix of 2A+3B is [22812−12].

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

Multiply each term of the matrix A by a scalar value 2 to get the matrix 2A.

2[45−69]=[2⋅ 42⋅ 52(−6)2⋅ 9]= [810−1218]

Similarly, multiply each term of the matrix B by a scalar value 3 to get the matrix 3B.

3[−268−10]=[3(−2)3⋅ 63⋅ 83(−10)]=[−61824−30]

It is known that two or more matrices can be added when they have same order.

Now, add 2A and 3B to get the result of matrix 2A+3B as follows.

2A+3B=[810−1218]+[−61824−30]=[8+(−6)10+18(−12)+2418+(−30)]=[22812−12]

Thus, the matrix of 2A+3B is [22812−12].

Answer 21

(c)

To determine

To find: The matrix of 2A+3B.

Answer 22

(c)

Expert Solution

Answer to Problem 1E

The matrix of 2A+3B is [22812−12].

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Given that the matrix A is [45−69] and B is [−268−10].

Multiply each term of the matrix A by a scalar value 2 to get the matrix 2A.

2[45−69]=[2⋅ 42⋅ 52(−6)2⋅ 9]= [810−1218]

Similarly, multiply each term of the matrix B by a scalar value 3 to get the matrix 3B.

3[−268−10]=[3(−2)3⋅ 63⋅ 83(−10)]=[−61824−30]

It is known that two or more matrices can be added when they have same order.

Now, add 2A and 3B to get the result of matrix 2A+3B as follows.

2A+3B=[810−1218]+[−61824−30]=[8+(−6)10+18(−12)+2418+(−30)]=[22812−12]

Thus, the matrix of 2A+3B is [22812−12].

Answer 27

Ch. B - Prob. 1E Ch. B - Prob. 2E Ch. B - Prob. 3E Ch. B - Prob. 4E Ch. B - Prob. 5E Ch. B - Prob. 6E Ch. B - Prob. 7E Ch. B - Prob. 8E Ch. B - Prob. 9E Ch. B - Prob. 10E

The matrix of A + B .

Videos

To find: The matrix of A+B.

Answer to Problem 1E

Explanation of Solution

To find: The matrix of B−A.

Answer to Problem 1E

Explanation of Solution

To find: The matrix of 2A+3B.

Answer to Problem 1E

Explanation of Solution

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Chapter B Solutions