Let A denote a square matrix. (a) Let YA = 0 for some matrix Y 0. Show

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Let A denote a square matrix.
(a) Let YA = 0 for some matrix Y ‰  0. Show that A has no inverse.
(b) Use part (a) to show that
(i)
Let A denote a square matrix.
(a) Let YA = 0

(ii)

Let A denote a square matrix.
(a) Let YA = 0

Have no inverse.

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