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Given the matrix a – 2 3 - a 4+ a A = a +5 2а +9 -а-1 2а- 3 3+а 8 - a 1+ a For what values of a is A singular? Justify your answers.

Given the matrix a – 2 3 - a 4+ a A = a +5 2а +9 -а-1 2а- 3 3+а 8 - a 1+ a For what values of a is A singular? Justify your answers.

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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Given the matrix \[ A = \begin{bmatrix} 0 & 0 & 0 & a - 2 \\ 0 & 0 & 3 - a & 4 + a \\ 0 & a + 5 & 2a + 9 & -a - 1 \\ 2a - 3 & 3 + a & 8 - a & 1 + a \end{bmatrix}. \] For what values of \(a\) is \(A\) singular? Justify your answers.
Transcribed Image Text:Given the matrix \[ A = \begin{bmatrix} 0 & 0 & 0 & a - 2 \\ 0 & 0 & 3 - a & 4 + a \\ 0 & a + 5 & 2a + 9 & -a - 1 \\ 2a - 3 & 3 + a & 8 - a & 1 + a \end{bmatrix}. \] For what values of \(a\) is \(A\) singular? Justify your answers.
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