Mention appropriate theorems from the textbook in your explanations following (i.e. mention when you use certain properties of the determinant deriving these expressions): (a) Show that if A is invertible, then det(A¯¹) = = 1 det(A) (b) Let A and P be square matrices, with P invertible. Show that det(PAP- det(A).
Mention appropriate theorems from the textbook in your explanations following (i.e. mention when you use certain properties of the determinant deriving these expressions): (a) Show that if A is invertible, then det(A¯¹) = = 1 det(A) (b) Let A and P be square matrices, with P invertible. Show that det(PAP- det(A).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 15EQ
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