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Consider the following matrix 3 2 A= 1 -1 -2 0 36 in null A? Show your work/justify your answer.

Consider the following matrix 3 2 A= 1 -1 -2 0 36 in null A? Show your work/justify your answer.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the following matrix \[ A = \begin{bmatrix} 3 & 2 & 4 \\ 1 & -1 & -2 \\ 0 & 3 & 6 \end{bmatrix}. \] 1. Is \(\begin{bmatrix} 1 \\ 2 \\ 0 \end{bmatrix}\) in null \(A\)? Show your work/justify your answer. 2. Is \(\begin{bmatrix} 14 \\ 8 \\ -6 \end{bmatrix}\) in Im \(A\)? Show your work/justify your answer.
Transcribed Image Text:Consider the following matrix \[ A = \begin{bmatrix} 3 & 2 & 4 \\ 1 & -1 & -2 \\ 0 & 3 & 6 \end{bmatrix}. \] 1. Is \(\begin{bmatrix} 1 \\ 2 \\ 0 \end{bmatrix}\) in null \(A\)? Show your work/justify your answer. 2. Is \(\begin{bmatrix} 14 \\ 8 \\ -6 \end{bmatrix}\) in Im \(A\)? Show your work/justify your answer.
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