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 - 2.1 Matrices: Definitions and Notation - Problems - Page 121: 13

Answer

Column 2-vectors: $\begin{bmatrix} 1 \\ 3 \end{bmatrix}$ and $\begin{bmatrix} -1 \\ 5 \end{bmatrix}$ Row 2-vectors: $\begin{bmatrix} 1 & -1 \end{bmatrix}$ and $\begin{bmatrix} 3 & 5 \end{bmatrix}$

Work Step by Step

Column vectors With $j=1$ $\begin{bmatrix} a_{11} \\ a_{21} \end{bmatrix}=\begin{bmatrix} 1 \\ 3 \end{bmatrix}$ With $j=2$ $\begin{bmatrix} a_{12} \\ a_{22} \end{bmatrix}=\begin{bmatrix} -1 \\ 5 \end{bmatrix}$ Row vectors With $i=1$ $\begin{bmatrix} a_{11} & a_{12} \end{bmatrix}=\begin{bmatrix} 1 & -1 \end{bmatrix}$ With $i=2$ $\begin{bmatrix} a_{21} & a_{22} \end{bmatrix}=\begin{bmatrix} 3 & 5 \end{bmatrix}$
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.