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Let A= 1 1 2 3 B = C-D= [01 201 -1 C= 0 1 0 -3 3 1 Compute the following matrices. If an answer doesn't exist, write DNE. a) 2A-B= b) 3B+2C= c) and D= 0 1 38

Let A= 1 1 2 3 B = C-D= [01 201 -1 C= 0 1 0 -3 3 1 Compute the following matrices. If an answer doesn't exist, write DNE. a) 2A-B= b) 3B+2C= c) and D= 0 1 38

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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### Matrix Operations Let \[ A = \begin{pmatrix} 1 & 1 \\ 2 & 3 \end{pmatrix}, \quad B = \begin{pmatrix} 0 & 1 & -1 \\ 2 & 0 & 1 \end{pmatrix}, \quad C = \begin{pmatrix} 0 & 1 & 0 \\ -3 & 3 & 1 \end{pmatrix} \quad \text{and} \quad D = \begin{pmatrix} 1 & 2 \\ 0 & 1 \\ 3 & 8 \end{pmatrix}. \] Compute the following matrices. If an answer doesn’t exist, write DNE. a) \(2A - B =\) b) \(3B + 2C =\) c) \(C - D =\) d) \(AB =\) e) \(CA =\) f) \(CD =\) g) \(A^{-1} =\) h) \(B^{-1} =\) i) \((BD)^{-1} =\) j) \((DC)^{-1} =\)
Transcribed Image Text:### Matrix Operations Let \[ A = \begin{pmatrix} 1 & 1 \\ 2 & 3 \end{pmatrix}, \quad B = \begin{pmatrix} 0 & 1 & -1 \\ 2 & 0 & 1 \end{pmatrix}, \quad C = \begin{pmatrix} 0 & 1 & 0 \\ -3 & 3 & 1 \end{pmatrix} \quad \text{and} \quad D = \begin{pmatrix} 1 & 2 \\ 0 & 1 \\ 3 & 8 \end{pmatrix}. \] Compute the following matrices. If an answer doesn’t exist, write DNE. a) \(2A - B =\) b) \(3B + 2C =\) c) \(C - D =\) d) \(AB =\) e) \(CA =\) f) \(CD =\) g) \(A^{-1} =\) h) \(B^{-1} =\) i) \((BD)^{-1} =\) j) \((DC)^{-1} =\)
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