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Please teach how to solve not just solve A matrix is idempotent if, when multiplied by itself it yields itself. That is, A is idempotent if AA = A a) When is the matrix (idempotent? 1911 b) Consider a diagonal matrix of the following form: I 0 if its diagonal elements are either 1 or 0. 0 I . Prove that such a matrix will be idempotent ann

Please teach how to solve not just solve A matrix is idempotent if, when multiplied by itself it yields itself. That is, A is idempotent if AA = A a) When is the matrix (idempotent? 1911 b) Consider a diagonal matrix of the following form: I 0 if its diagonal elements are either 1 or 0. 0 I . Prove that such a matrix will be idempotent ann

Advanced Engineering Mathematics
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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Please teach how to solve not just solve A matrix is idempotent if, when multiplied by itself it yields itself. That is, A is idempotent if AA = A a) When is the matrix (b) idempotent? b) Consider a diagonal matrix of the following form: if its diagonal elements are either 1 or 0. a11 I 0 ⠀ Prove that such a matrix will be idempotent ann Consider two matrices A, B. Assuming these are well defined for the following operations, demonstrate whether the following operation results in a symmetric and idempotent matrix: (AB) ((AB)'(AB))¹(AB)'
Transcribed Image Text:Please teach how to solve not just solve A matrix is idempotent if, when multiplied by itself it yields itself. That is, A is idempotent if AA = A a) When is the matrix (b) idempotent? b) Consider a diagonal matrix of the following form: if its diagonal elements are either 1 or 0. a11 I 0 ⠀ Prove that such a matrix will be idempotent ann Consider two matrices A, B. Assuming these are well defined for the following operations, demonstrate whether the following operation results in a symmetric and idempotent matrix: (AB) ((AB)'(AB))¹(AB)'
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