A matrix A with the property A² = A is called idempotent. Find all possible values of the determinant for this type of matrix.

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 matrix A with the property
A² = A is called idempotent. Find all possible
values of the determinant for this type of
matrix.
Transcribed Image Text:A matrix A with the property A² = A is called idempotent. Find all possible values of the determinant for this type of matrix.
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