Consider the following row reduction of the matrix M to the 4 x 4 identity matrix I4. M R2-3R1, R₁+R3 RA M₁ M3 R₁+2R3 M₁3R3 M5 R3+R4, M6 → 14 Here M₁, M2,..., Me are the matrices obtained after each step. Find the determinant of the initial matrix M. M2 R₂ RA

Algebra and Trigonometry (6th Edition)
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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 row reduction of the matrix M to the 4 × 4 identity matrix IĄ.
12R4
✈ R4 M3
R4,
M6 → 14
M
R₂-3R₁
M₁
R³, M2
R₁ R3,
R2
R4+2 R3.
M4
-3R3,
M5
R3 R4
Here M₁, M2,..., M6 are the matrices obtained after each step. Find the determinant of the
initial matrix M.
Transcribed Image Text:Consider the following row reduction of the matrix M to the 4 × 4 identity matrix IĄ. 12R4 ✈ R4 M3 R4, M6 → 14 M R₂-3R₁ M₁ R³, M2 R₁ R3, R2 R4+2 R3. M4 -3R3, M5 R3 R4 Here M₁, M2,..., M6 are the matrices obtained after each step. Find the determinant of the initial matrix M.
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