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1.7 Find the determinant of this 4x4 matrix by following the plan: perform Gauss's Method and look for the determinant to remain unchanged on a row combination, to change sign on a row swap, to rescale on the rescaling of a row, and such that the determinant of the echelon form matrix is the product down its diagonal. /1 2 0 3 2 4 0 1 0 2) 1 -1 0 3 1 4/

1.7 Find the determinant of this 4x4 matrix by following the plan: perform Gauss's Method and look for the determinant to remain unchanged on a row combination, to change sign on a row swap, to rescale on the rescaling of a row, and such that the determinant of the echelon form matrix is the product down its diagonal. /1 2 0 3 2 4 0 1 0 2) 1 -1 0 3 1 4/

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please do Exercise 1.7 and please show step by step and explain

✓ 1.7 Find the determinant of this 4x4 matrix by following the plan: perform Gauss's Method and look for the determinant to remain unchanged on a row combination, to change sign on a row swap, to rescale on the rescaling of a row, and such that the determinant of the echelon form matrix is the product down its diagonal. 1 2 0 2) 2410 -1 3 0 3 0 -1 1 4,
Transcribed Image Text:✓ 1.7 Find the determinant of this 4x4 matrix by following the plan: perform Gauss's Method and look for the determinant to remain unchanged on a row combination, to change sign on a row swap, to rescale on the rescaling of a row, and such that the determinant of the echelon form matrix is the product down its diagonal. 1 2 0 2) 2410 -1 3 0 3 0 -1 1 4,
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