Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 0-32198-238-X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.4 Exercises: 7

Answer

$$ \begin{bmatrix} 4&-5&7\\ -1&3&-8\\ 7&-5&0\\ -4&1&2 \end{bmatrix} \begin{bmatrix} x_1\\x_2\\x_3 \end{bmatrix} = \begin{bmatrix} 6\\-8\\0\\7 \end{bmatrix} $$

Work Step by Step

Each column of the matrix is one of the vectors in the vector equation. Each entry in the vector is one of the coefficients multiplied by the vectors in the vector equation. The right hand side is the same in the vector equations and the matrix-vector equation.
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