a11 a12 is the matrix: a22, (4) The adjugate of a 2 x 2 matrix A a21 a12 a22 adj(A) a11 -a21 A adj (A) det(A)I2. (a) Show that adj(A) A det(A) (b) Show that det(adj(A)) (c) Show that if A is invertible, then A-1= [det(A)]ladj(A)
a11 a12 is the matrix: a22, (4) The adjugate of a 2 x 2 matrix A a21 a12 a22 adj(A) a11 -a21 A adj (A) det(A)I2. (a) Show that adj(A) A det(A) (b) Show that det(adj(A)) (c) Show that if A is invertible, then A-1= [det(A)]ladj(A)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ:
In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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