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Find an explicit description of Nul A by listing vectors that span the null space. 120-20 A = 0 0 1 -5 0 000 0 5 A spanning set for Nul A is (Use a comma to separate answers as needed.)

Find an explicit description of Nul A by listing vectors that span the null space. 120-20 A = 0 0 1 -5 0 000 0 5 A spanning set for Nul A is (Use a comma to separate answers as needed.)

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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The task is to find an explicit description of the null space (Nul A) by listing vectors that span it. Matrix A is given as: \[ A = \begin{bmatrix} 1 & 2 & 0 & -2 & 0 \\ 0 & 0 & 1 & -5 & 0 \\ 0 & 0 & 0 & 0 & 5 \end{bmatrix} \] Below the matrix, there is an input section that prompts for the spanning set for Nul A: "A spanning set for Nul A is { }." Instructions indicate to use commas to separate answers as needed.
Transcribed Image Text:The task is to find an explicit description of the null space (Nul A) by listing vectors that span it. Matrix A is given as: \[ A = \begin{bmatrix} 1 & 2 & 0 & -2 & 0 \\ 0 & 0 & 1 & -5 & 0 \\ 0 & 0 & 0 & 0 & 5 \end{bmatrix} \] Below the matrix, there is an input section that prompts for the spanning set for Nul A: "A spanning set for Nul A is { }." Instructions indicate to use commas to separate answers as needed.
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Find an explicit description of Nul A by listing vectors that span the null space.

A equals open square brackets table row 1 2 0 cell negative 2 end cell 0 row 0 0 1 cell negative 5 end cell 0 row 0 0 0 0 5 end table close square brackets

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