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Let V be a finite dimensional vector space of dimension m+n, and E be a projection on V, then show that there exists a basis for V such that the matrix representation of E is of the form where m= rank(E). E = Imxm_0mxn Onxm Onxn, (Tmx

Let V be a finite dimensional vector space of dimension m+n, and E be a projection on V, then show that there exists a basis for V such that the matrix representation of E is of the form where m= rank(E). E = Imxm_0mxn Onxm Onxn, (Tmx

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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Let V be a finite dimensional vector space of dimension m+n, and E be a projection on V, then show that there exists a basis for V such that the matrix representation of E is of the form where m= rank(E). E = (Tmx Imxm_0mxn Onxm Onxn,
Transcribed Image Text:Let V be a finite dimensional vector space of dimension m+n, and E be a projection on V, then show that there exists a basis for V such that the matrix representation of E is of the form where m= rank(E). E = (Tmx Imxm_0mxn Onxm Onxn,
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