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Compute det (As)? 1 1 2 -1 A5 = 13 1 0 1 1 12 32 3 1 0 1 3 1 1 3 1 1 O -1 -1 1 3 -1 1 3 1 तल 3 Hint: The determinant is 0. why?

Compute det (As)? 1 1 2 -1 A5 = 13 1 0 1 1 12 32 3 1 0 1 3 1 1 3 1 1 O -1 -1 1 3 -1 1 3 1 तल 3 Hint: The determinant is 0. why?

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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**Matrix Determinant Problem** **Objective:** Compute the determinant of the matrix \( A_5 \). \[ A_5 = \begin{bmatrix} 1 & 1 & 2 & -1 & 1 & 1 \\ 1 & 3 & 1 & 0 & 1 & 1 \\ 1 & 1 & 1 & 2 & 0 & 1 \\ 3 & 2 & 3 & -1 & 3 & 3 \\ 1 & 0 & 1 & 1 & -1 & 1 \\ 3 & 1 & 1 & 3 & -1 & 3 \\ \end{bmatrix} \] **Hint:** The determinant is 0. Why? --- The matrix provided is a 6x6 matrix. The task is to calculate the determinant and understand why it equals zero. Consider examining properties such as linear dependence among the rows or columns, which can lead to a zero determinant.
Transcribed Image Text:**Matrix Determinant Problem** **Objective:** Compute the determinant of the matrix \( A_5 \). \[ A_5 = \begin{bmatrix} 1 & 1 & 2 & -1 & 1 & 1 \\ 1 & 3 & 1 & 0 & 1 & 1 \\ 1 & 1 & 1 & 2 & 0 & 1 \\ 3 & 2 & 3 & -1 & 3 & 3 \\ 1 & 0 & 1 & 1 & -1 & 1 \\ 3 & 1 & 1 & 3 & -1 & 3 \\ \end{bmatrix} \] **Hint:** The determinant is 0. Why? --- The matrix provided is a 6x6 matrix. The task is to calculate the determinant and understand why it equals zero. Consider examining properties such as linear dependence among the rows or columns, which can lead to a zero determinant.
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