1 1 1 145 156 004 multiplied by D on the right or on the left. Find a 3x3 matrix B, not the identity matrix or zero matrix, such that AB = BA. Let A = 700 050. Compute AD and DA. Explain how the columns or rows of A change when A is and D=

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ISBN:9780470458365
Author:Erwin Kreyszig
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Compute AD and DA

Let \( A = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 4 & 5 \\ 1 & 5 & 6 \end{bmatrix} \) and \( D = \begin{bmatrix} 7 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 4 \end{bmatrix} \). Compute \( AD \) and \( DA \). Explain how the columns or rows of \( A \) change when \( A \) is multiplied by \( D \) on the right or on the left. Find a \( 3 \times 3 \) matrix \( B \), not the identity matrix or zero matrix, such that \( AB = BA \).
Transcribed Image Text:Let \( A = \begin{bmatrix} 1 & 1 & 1 \\ 1 & 4 & 5 \\ 1 & 5 & 6 \end{bmatrix} \) and \( D = \begin{bmatrix} 7 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 4 \end{bmatrix} \). Compute \( AD \) and \( DA \). Explain how the columns or rows of \( A \) change when \( A \) is multiplied by \( D \) on the right or on the left. Find a \( 3 \times 3 \) matrix \( B \), not the identity matrix or zero matrix, such that \( AB = BA \).
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