1. (a) Is there any 4 x 7 matrix that satisfies Nullity(A) = 2. If yes, find an example of such A; if not, explain your answer. (b) Is there any 10 x 5 matrix B that satisfies Rank(B) of such B; if not, explain your answer. = 7. If yes, find an example (c) Is there any 5 x 6 matrix C that satisfies Nullity(C) = 2. If yes, find an example of such C; if not, explain your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. (a) Is there any 4 x 7 matrix A that satisfies Nullity(A) = 2. If yes, find an example
of such A; if not, explain your answer.
(b) Is there any 10 x 5 matrix B that satisfies Rank(B) = 7. If yes, find an example
of such B; if not, explain your answer.
(c) Is there any 5 x 6 matrix C that satisfies Nullity(C) = 2. If yes, find an example
of such C; if not, explain your answer.
Transcribed Image Text:1. (a) Is there any 4 x 7 matrix A that satisfies Nullity(A) = 2. If yes, find an example of such A; if not, explain your answer. (b) Is there any 10 x 5 matrix B that satisfies Rank(B) = 7. If yes, find an example of such B; if not, explain your answer. (c) Is there any 5 x 6 matrix C that satisfies Nullity(C) = 2. If yes, find an example of such C; if not, explain your answer.
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