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Let A = 4 2 1 1 Compute 51₂ - A and (51₂)A.

Let A = 4 2 1 1 Compute 51₂ - A and (51₂)A.

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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The problem statement is as follows: Let \( A = \begin{bmatrix} 4 & -1 \\ 2 & 1 \end{bmatrix} \). Compute \( 5I_2 - A \) and \( (5I_2)A \). **Explanation:** - \( 5I_2 \) refers to a 2x2 identity matrix scaled by 5, which is \( \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix} \). - Compute the matrix subtraction \( 5I_2 - A \) by subtracting each corresponding element of matrix \( A \) from \( 5I_2 \). - Compute the matrix multiplication \( (5I_2)A \) by multiplying the matrix \( 5I_2 \) with matrix \( A \).
Transcribed Image Text:The problem statement is as follows: Let \( A = \begin{bmatrix} 4 & -1 \\ 2 & 1 \end{bmatrix} \). Compute \( 5I_2 - A \) and \( (5I_2)A \). **Explanation:** - \( 5I_2 \) refers to a 2x2 identity matrix scaled by 5, which is \( \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix} \). - Compute the matrix subtraction \( 5I_2 - A \) by subtracting each corresponding element of matrix \( A \) from \( 5I_2 \). - Compute the matrix multiplication \( (5I_2)A \) by multiplying the matrix \( 5I_2 \) with matrix \( A \).
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