2.1 Exercises In Exercises 1 and 2, compute each matrix sum or product if it defined. If an expression is undefined, explain why. Let 0-1 4 -3 [232] c = [_-2 [41] A = B 7 -5 1 -4 -3 3] 1 [1 [3] [1] - 1. -2A, B-2A, AC, CD 2. A + 2B, 3CE, CB, EB

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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## 2.1 Exercises

In Exercises 1 and 2, compute each matrix sum or product if it is defined. If an expression is undefined, explain why. Let

\[ A = \begin{bmatrix} 2 & 0 & -1 \\ 4 & -3 & 2 \end{bmatrix}, \]

\[ B = \begin{bmatrix} 7 & -5 & 1 \\ 1 & -4 & -3 \end{bmatrix}, \]

\[ C = \begin{bmatrix} 1 & 2 \\ -2 & 1 \end{bmatrix}, \]

\[ D = \begin{bmatrix} 3 & 5 \\ -1 & 4 \end{bmatrix}, \]

\[ E = \begin{bmatrix} -5 \\ 3 \end{bmatrix}. \]

### 1. 
- \(-2A\)
- \(B - 2A\)
- \(AC\)
- \(CD\)

### 2. 
- \(A + 2B\)
- \(3C - E\)
- \(CB\)
- \(EB\)
Transcribed Image Text:## 2.1 Exercises In Exercises 1 and 2, compute each matrix sum or product if it is defined. If an expression is undefined, explain why. Let \[ A = \begin{bmatrix} 2 & 0 & -1 \\ 4 & -3 & 2 \end{bmatrix}, \] \[ B = \begin{bmatrix} 7 & -5 & 1 \\ 1 & -4 & -3 \end{bmatrix}, \] \[ C = \begin{bmatrix} 1 & 2 \\ -2 & 1 \end{bmatrix}, \] \[ D = \begin{bmatrix} 3 & 5 \\ -1 & 4 \end{bmatrix}, \] \[ E = \begin{bmatrix} -5 \\ 3 \end{bmatrix}. \] ### 1. - \(-2A\) - \(B - 2A\) - \(AC\) - \(CD\) ### 2. - \(A + 2B\) - \(3C - E\) - \(CB\) - \(EB\)
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