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: 17

Answer

Click to see the results

Work Step by Step

Given \begin{array}{l}{a_{1}=[-2,0,4,-1,-1]} \\{a_{2}=[9,-4,-4,0,8]} \end{array} So, The appropriate matrix for the given row vectors is: \begin{array}{l}{\qquad A=\left[\begin{array}{llll}{-2} &\ \ \ {0}&\ \ \ \ {4}&{-1}&{-1} \\{9} & {-4}&{-4}&\ \ \ {0}& \ \ \ {8}\end{array}\right]} \end{array} The column vectors for this matrix are: \begin{array}{l} {\qquad \mathbf{b}_{1}=\left[\begin{array}{l}{-2} \\ \ \ \ {9} \\ \end{array}\right]}\\ {\qquad \mathbf{b}_{2}=\left[\begin{array}{l}{\ \ \ 0} \\ {-4} \\ \end{array}\right]} {\qquad \mathbf{b}_{3}=\left[\begin{array}{l}\ \ \ {4} \\ {-4} \\ \end{array}\right]}\\ {\qquad \mathbf{b}_{4}=\left[\begin{array}{l}{-1} \\\ \ \ {0} \\ \end{array}\right]} {\qquad \mathbf{b}_{5}=\left[\begin{array}{l}{-1} \\ \ \ {8} \\ \end{array}\right]}\\ \end{array}
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.