square matrix A is said to be idempotent if A2=A a). Give an example of an idempotent matrix other than O and I. b). Show that, if a matrix A is both idempotent and invertible, then A = I.
square matrix A is said to be idempotent if A2=A a). Give an example of an idempotent matrix other than O and I. b). Show that, if a matrix A is both idempotent and invertible, then A = I.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 79E
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A square matrix A is said to be idempotent if A2=A
a). Give an example of an idempotent matrix other than O and I.
b). Show that, if a matrix A is both idempotent and invertible, then A = I.
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