## Related questions with answers

Question

The following problem, two matrices A and B and two numbers c and d are given. Compute the matrix cA + dB.

$\mathbf{A}=\left[\begin{array}{rrr} 2 & 0 & -3 \\ -1 & 5 & 6 \end{array}\right], \mathbf{B}=\left[\begin{array}{rrr} -2 & 3 & 1 \\ 7 & 1 & 5 \end{array}\right], c=5, d=-3$

Solution

VerifiedStep 1

1 of 2$cA+dB=\\\\\\ =5\begin{bmatrix} 2&0&-3 \\ -1&5 &6 \end{bmatrix}-3\begin{bmatrix} -2&3&1 \\ 7& 1&5 \end{bmatrix}=\\\\\\ =\begin{bmatrix} 10&0&-15 \\ -5&25 &30 \end{bmatrix}-\begin{bmatrix} -6&9&3 \\ 21& 3&15 \end{bmatrix}=\\\\\\ =\begin{bmatrix} 10-(-6)&0-9&-15-3 \\ -5-21&25-3 &30-15 \end{bmatrix}=\\\\\\ =\begin{bmatrix} 16&-9&-18 \\ -26&22 &15 \end{bmatrix}$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Differential Equations and Linear Algebra

2nd Edition•ISBN: 9780131860612 (1 more)Beverly H. West, Hall, Jean Marie McDill, Jerry Farlow2,405 solutions

#### Differential Equations and Linear Algebra

4th Edition•ISBN: 9780134497181 (3 more)C. Henry Edwards, David Calvis, David E. Penney2,531 solutions

#### Differential Equations and Linear Algebra

4th Edition•ISBN: 9780321964670Scott A. Annin, Stephen W. Goode3,457 solutions

#### Linear Algebra and Differential Equations (Custom Edition for University of California, Berkeley)

2nd Edition•ISBN: 9781256873211David C. Lay, Nagle, Saff, Snider2,362 solutions

## More related questions

- college algebra
- college algebra
- algebra

1/4

- college algebra
- college algebra
- algebra

1/7