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Linear algebra: When I saw a question to find the determinant of 4 x 4 matrix like that, I can only think of cofactor expansion, but it seems this solution doesn't use cofactor expansion, can you explain how it goes from first line to second line?

Linear algebra: When I saw a question to find the determinant of 4 x 4 matrix like that, I can only think of cofactor expansion, but it seems this solution doesn't use cofactor expansion, can you explain how it goes from first line to second line?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Linear algebra: When I saw a question to find the determinant of 4 x 4 matrix like that, I can only think of cofactor expansion, but it seems this solution doesn't use cofactor expansion, can you explain how it goes from first line to second line?

1-t 1 2 -1 1-t 1 f(t) = det(A – tI4) = det 2 - t -1 1 1-t 1 2 -t -1 = det det • det 1-t 1 1-t)
Transcribed Image Text:1-t 1 2 -1 1-t 1 f(t) = det(A – tI4) = det 2 - t -1 1 1-t 1 2 -t -1 = det det • det 1-t 1 1-t)
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