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1. Let A = 0 2% 10-40-11-1 2]₁ B = [ ²4 ] ₁ 0 = [ ¹2 1] C -5 -2 and D= Compute the following quantities, or explain why they do not exist: (a) -2A (b) B-2A (c) AC (d) CD

1. Let A = 0 2% 10-40-11-1 2]₁ B = [ ²4 ] ₁ 0 = [ ¹2 1] C -5 -2 and D= Compute the following quantities, or explain why they do not exist: (a) -2A (b) B-2A (c) AC (d) CD

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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**Section 2.1** 1. Let \[ A = \begin{bmatrix} 2 & 0 & -1 \\ 4 & -5 & 2 \end{bmatrix}, \quad B = \begin{bmatrix} 7 & -5 & 1 \\ 1 & -4 & -3 \end{bmatrix}, \quad C = \begin{bmatrix} 1 & 2 \\ -2 & 1 \end{bmatrix}, \quad \text{and} \quad D = \begin{bmatrix} 3 & 5 \\ -1 & 4 \end{bmatrix}. \] Compute the following quantities, or explain why they do not exist: (a) \(-2A\) (b) \(B - 2A\) (c) \(AC\) (d) \(CD\)
Transcribed Image Text:**Section 2.1** 1. Let \[ A = \begin{bmatrix} 2 & 0 & -1 \\ 4 & -5 & 2 \end{bmatrix}, \quad B = \begin{bmatrix} 7 & -5 & 1 \\ 1 & -4 & -3 \end{bmatrix}, \quad C = \begin{bmatrix} 1 & 2 \\ -2 & 1 \end{bmatrix}, \quad \text{and} \quad D = \begin{bmatrix} 3 & 5 \\ -1 & 4 \end{bmatrix}. \] Compute the following quantities, or explain why they do not exist: (a) \(-2A\) (b) \(B - 2A\) (c) \(AC\) (d) \(CD\)
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