Prove that (a) C(B) C Nul(A), where C(B) denotes the column space of B. (b) rank A + rank B < 5
Prove that (a) C(B) C Nul(A), where C(B) denotes the column space of B. (b) rank A + rank B < 5
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:Assume that A is a 3 x 5 matrix, B is a 5 x 6 matrix and AB = 0 is a zero matrix.
Prove that
(a) C(B) C Nul(A), where C(B) denotes the column space of B.
(b) rank A + rank B < 5
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Given that is a matrix and is a matrix. Also .
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