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= {[81] [6]} 4 = {[11], [-1-1]} and T = Exercise 9.3.19 Show that the sets S = same subspace of M2,2. span the

= {[81] [6]} 4 = {[11], [-1-1]} and T = Exercise 9.3.19 Show that the sets S = same subspace of M2,2. span the

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Exercise 9.3.19** Show that the sets \( S = \left\{ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}, \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \right\} \) and \( T = \left\{ \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}, \begin{bmatrix} -1 & -1 \\ 1 & 1 \end{bmatrix} \right\} \) span the same subspace of \( M_{2,2} \).
Transcribed Image Text:**Exercise 9.3.19** Show that the sets \( S = \left\{ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}, \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \right\} \) and \( T = \left\{ \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}, \begin{bmatrix} -1 & -1 \\ 1 & 1 \end{bmatrix} \right\} \) span the same subspace of \( M_{2,2} \).
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