Engineering Your Future
Engineering Your Future
9th Edition
ISBN: 9780190279264
Author: William C. Oakes, Les L. Leone
Publisher: Oxford University Press, USA
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Chapter C, Problem C.27E

a.

To determine

By using MATLAB to find A+B+C.

a.

Expert Solution
Check Mark

Answer to Problem C.27E

A+B+C=(422215).

Explanation of Solution

Given Information:

A=(71649).

B=(65122).

C=(3968).

MATLAB commands:

A = [-7 16;4 9]

B = [6 -5;12 -2]

C = [-3 -9;6 8]

A + B + C

MATLAB window below

Engineering Your Future, Chapter C, Problem C.27E , additional homework tip  1

Conclusion:

A+B+C=(422215).

b.

To determine

By using MATLAB to find AB+C.

b.

Expert Solution
Check Mark

Answer to Problem C.27E

AB+C=(1612219).

Explanation of Solution

Given Information:

A=(71649).

B=(65122).

C=(3968).

MATLAB commands:

A = [-7 16;4 9]

B = [6 -5;12 -2]

C = [-3 -9;6 8]

A - B + C

MATLAB window below

Engineering Your Future, Chapter C, Problem C.27E , additional homework tip  2

Conclusion:

AB+C=(1612219).

c.

To determine

By using MATLAB to verify the associative law (A+B)+C=A+(B+C).

c.

Expert Solution
Check Mark

Answer to Problem C.27E

(A+B)+C=(422215).

A+(B+C)=(422215).

Hence, (A+B)+C=A+(B+C).

Explanation of Solution

Given Information:

A=(71649).

B=(65122).

C=(3968).

MATLAB commands:

A = [-7 16;4 9]

B = [6 -5;12 -2]

C = [-3 -9;6 8]

(A + B)+ C

A + (B + C)

MATLAB window below

Engineering Your Future, Chapter C, Problem C.27E , additional homework tip  3

Conclusion:

(A+B)+C=(422215).

A+(B+C)=(422215).

Hence, (A+B)+C=A+(B+C).

d.

To determine

By using MATLAB to verify the commutative law A+B+C=A+C+B=B+C+A.

d.

Expert Solution
Check Mark

Answer to Problem C.27E

A+B+C=(422215).

A+C+B=(422215).

B+C+A=(422215).

Hence, A+B+C=A+C+B=B+C+A.

Explanation of Solution

Given Information:

A=(71649).

B=(65122).

C=(3968).

MATLAB commands:

A = [-7 16;4 9]

B = [6 -5;12 -2]

C = [-3 -9;6 8]

A + B + C

A + C + B

B + C + A

MATLAB window below

Engineering Your Future, Chapter C, Problem C.27E , additional homework tip  4

Conclusion:

A+B+C=(422215).

A+C+B=(422215).

B+C+A=(422215).

Hence, A+B+C=A+C+B=B+C+A.

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