Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 2 - Matrices and Systems of Linear Equations - 2.2 Matrix Algebra - Problems - Page 136: 18

Answer

$\begin{bmatrix} -1 &-1 \\ 10 & 4 \end{bmatrix}$

Work Step by Step

$A= \begin{bmatrix} 1 & -1 \\ 2 & 1 \end{bmatrix}$ $B= \begin{bmatrix} 3 & 1 \\ 4 & 2 \end{bmatrix}$ $[A, B]= \begin{bmatrix} 1 & -1 \\ 2 & 1 \end{bmatrix}$ $\begin{bmatrix} 3 \\ 4 \end{bmatrix}$, $\begin{bmatrix} 1 & -1 \\ 2 & 1 \end{bmatrix}$ $\begin{bmatrix} 1 \\ 2 \end{bmatrix}$ $=\begin{bmatrix} [1(3) & + (-1)4] [1(1) & +2(-1) \\ [ 2(3) & + 1(4) ] [2(1) & + 1(2) \end{bmatrix}$ $=\begin{bmatrix} -1 &-1 \\ 10 & 4 \end{bmatrix}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.