Let A be a 3x3 invertible matrix. The reduced row-echelon form of A is obtained by performing the following three elementary row operations in order: (i) First multiply row 2 by 3. (ii) Then add 2 times row 2 to row 3. (iii) Then finally interchange rows 3 and 1. Then what is det(A)? det(A) = 0

Let A be a 3x3 invertible matrix. The reduced row-echelon form of A is obtained by performing the following three elementary row operations in order: (i) First multiply row 2 by 3. (ii) Then add 2 times row 2 to row 3. (iii) Then finally interchange rows 3 and 1. Then what is det(A)? det(A) = 0

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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Question

Let A be a 3×3 invertible matrix. The reduced row-echelon form of A is obtained by performing the following three elementary row operations in order:
(i) First multiply row 2 by 3.
(ii) Then add 2 times row 2 to row 3.
(iii) Then finally interchange rows 3 and 1.
Then what is det(A)?
det(A) = 0

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