Why is the determinant of the original matrix and the diagonalized matrix the same. Prove it.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.8: Solving Systems With Cramer's Rule
Problem 3SE: Explain what it means in terms of an inverse for a matrix to have a 0 determinant.
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Why is the determinant of the original matrix and the diagonalized matrix the same. Prove it.

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