The matrix of A + B .

Question

Want to see more full solutions like this?

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].

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Find the perimeter of the triangle. Express the perimeter using the same unit of measure that appears on the given sides. 9 ft 13 ft 6 ft The perimeter is

Use the formula for Pr to evaluate the following expression. 9P5 9P5 =☐

Find the volume of the figure. The volume of the figure is 3 m 3 m 3 m

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].

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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].

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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].

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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

Want to see more full solutions like this?

Chapter B Solutions