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32. dd 1 2 -1 1 3-2 0 -5 6 1 56 or the given vector space (if possible

32. dd 1 2 -1 1 3-2 0 -5 6 1 56 or the given vector space (if possible

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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Find a basis for and the dimension of the null space of the given matrix.

(problem 32 on picture)

The image contains an exercise section from a mathematics textbook, focusing on problems involving matrices. ### Problem 28 Matrix: \[ \begin{bmatrix} 2 & 1 & -1 \\ 4 & -2 & -2 \\ 1 & 1 \end{bmatrix} \] ### Problem 30 Vector: \[ [2 \quad -1 \quad 4 \quad -2] \] ### Problem 32 Matrix: \[ \begin{bmatrix} 1 & 1 & 1 \\ 2 & 3 & -2 \\ -1 & 0 & -5 \\ 5 & 6 & 1 \end{bmatrix} \] These problems likely involve operations such as determining the determinant, solving systems of equations, or finding the basis for a vector space.
Transcribed Image Text:The image contains an exercise section from a mathematics textbook, focusing on problems involving matrices. ### Problem 28 Matrix: \[ \begin{bmatrix} 2 & 1 & -1 \\ 4 & -2 & -2 \\ 1 & 1 \end{bmatrix} \] ### Problem 30 Vector: \[ [2 \quad -1 \quad 4 \quad -2] \] ### Problem 32 Matrix: \[ \begin{bmatrix} 1 & 1 & 1 \\ 2 & 3 & -2 \\ -1 & 0 & -5 \\ 5 & 6 & 1 \end{bmatrix} \] These problems likely involve operations such as determining the determinant, solving systems of equations, or finding the basis for a vector space.
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