8. A square matrix P has a property that P2 P. If P # 1,, which of the following is true? (a) P is singular. (b) P is symmetric. (c) P is skew-symmetric. (d) P is an elementary matrix.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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8. A square matrix P has a property that P2 P. If P # 1,, which of the following is true?
(a) P is singular.
(b) P is symmetric.
(c) P is skew-symmetric.
(d) P is an elementary matrix.
Transcribed Image Text:8. A square matrix P has a property that P2 P. If P # 1,, which of the following is true? (a) P is singular. (b) P is symmetric. (c) P is skew-symmetric. (d) P is an elementary matrix.
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