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A sequence of elementary matrices are applied to A to get the following result: 1 0 0 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ [] 01 0E₁A→ 0 3 0 E₂E₁ A → 01 0 E3 E₂ E₁ A = 1 00 0 0 1 1 0 0 A → 0 1 0 0 0-6 E1 A → Compute the determinant of A and enter it below: E₂ E3 1 0 -5 00 1 E. det (A) -1.6 Hint: This problem requires using the determinant properties covered in 3.1. More specifically, the properties are: (i) If 2 rows or 2 columns of a matrix are switched, the determinant changes by -1. -6-2 01 0 0 -6 5 5

A sequence of elementary matrices are applied to A to get the following result: 1 0 0 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ [] 01 0E₁A→ 0 3 0 E₂E₁ A → 01 0 E3 E₂ E₁ A = 1 00 0 0 1 1 0 0 A → 0 1 0 0 0-6 E1 A → Compute the determinant of A and enter it below: E₂ E3 1 0 -5 00 1 E. det (A) -1.6 Hint: This problem requires using the determinant properties covered in 3.1. More specifically, the properties are: (i) If 2 rows or 2 columns of a matrix are switched, the determinant changes by -1. -6-2 01 0 0 -6 5 5

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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A sequence of elementary matrices are applied to A to get the following result: det (A) 0 01 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 01 0 A → 0 1 0E₁A → 0 3 0 E₂E₁ A → 01 0 E3 E2 E1A= 001 A → = -1.6 1 0 0 00-6 E₁ Γο ο Compute the determinant of A and enter it below: 100 E2 E3 1 0 -57 0 0 1 EA Hint: This problem requires using the determinant properties covered in 3.1. More specifically, the properties are: (i) If 2 rows or 2 columns of a matrix are switched, the determinant changes by -1. (ii) If a row or a column is multiplied by a constant, the determinant is multiplied by the same constant. (iii) If one row (column) is multiplied by a constant and is added to another row (column), the determinant remains unchanged. -6 0 0 -2 1 0 1 5 5
Transcribed Image Text:A sequence of elementary matrices are applied to A to get the following result: det (A) 0 01 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 01 0 A → 0 1 0E₁A → 0 3 0 E₂E₁ A → 01 0 E3 E2 E1A= 001 A → = -1.6 1 0 0 00-6 E₁ Γο ο Compute the determinant of A and enter it below: 100 E2 E3 1 0 -57 0 0 1 EA Hint: This problem requires using the determinant properties covered in 3.1. More specifically, the properties are: (i) If 2 rows or 2 columns of a matrix are switched, the determinant changes by -1. (ii) If a row or a column is multiplied by a constant, the determinant is multiplied by the same constant. (iii) If one row (column) is multiplied by a constant and is added to another row (column), the determinant remains unchanged. -6 0 0 -2 1 0 1 5 5
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