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 - 2.4 Row-Echelon Matrices and Elementary Row Operations - Problems - Page 155: 9

Answer

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Work Step by Step

$\begin{bmatrix} 2 & -4\\ -4 & 8 \end{bmatrix} \approx^1 \begin{bmatrix} 1 & -2 \\ -4 & 8 \end{bmatrix} \approx^2 \begin{bmatrix} 1 & -2\\ 0 & 0 \end{bmatrix}$ Rank (A) =1 The rank of each matrix: $M_1(\frac{1}{2})$ $A_{12}(4)$
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