A matrix A is idempotent if A² = A. Give an example of a 2 x 2 matrir equal to I or 0) that is idempotent. %3D
A matrix A is idempotent if A² = A. Give an example of a 2 x 2 matrir equal to I or 0) that is idempotent. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A matrix A is idempotent if A = A. Give an example of a 2 x 2 matrir (e
equal to I or 0) that is idempotent.
39.
Prove that (A + B)" = A" + B' for all matrices A and B of the same
%3D
dimensions.
40.
Prove that (A")" = A for all matrices A.
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