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Consider the following matrix: 1 2 3 0 -3 A-3 6 -9 09 -2 5-9 -29 Give a basis for each of im(A) and null(A). Number of Vectors: 1 {}} 0 Basis for im(A) { Number of Vectors: 1 +{C} Basis for null(A) 0

Consider the following matrix: 1 2 3 0 -3 A-3 6 -9 09 -2 5-9 -29 Give a basis for each of im(A) and null(A). Number of Vectors: 1 {}} 0 Basis for im(A) { Number of Vectors: 1 +{C} Basis for null(A) 0

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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Consider the following matrix: \[ A = \begin{bmatrix} 1 & -2 & 3 & 0 & -3 \\ -3 & 6 & -9 & 0 & 9 \\ -2 & 5 & -9 & -2 & 9 \end{bmatrix} \] Give a basis for each of im(\(A\)) and null(\(A\)). **Number of Vectors:** 1 Basis for im(\(A\)): \[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \] **Number of Vectors:** 1 Basis for null(\(A\)): \[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \]
Transcribed Image Text:Consider the following matrix: \[ A = \begin{bmatrix} 1 & -2 & 3 & 0 & -3 \\ -3 & 6 & -9 & 0 & 9 \\ -2 & 5 & -9 & -2 & 9 \end{bmatrix} \] Give a basis for each of im(\(A\)) and null(\(A\)). **Number of Vectors:** 1 Basis for im(\(A\)): \[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \] **Number of Vectors:** 1 Basis for null(\(A\)): \[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \]
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