Question

Solve the Attachment problem?

Solve this ?
Let
A2 =
B =
(a) Show that A¡B = A2B and note that A1 7 A2. Thus
the cancellation law does not hold for matrices; that is, if
A¡B = A2B and B + 0, it does not follow that A1 = A2.
(b) Let A = A1-A2 and use part (a) to show that AB = 0.
Thus the product of two nonzero matrices may be the zero
matrix.
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Transcribed Image Text

Solve this ? Let A2 = B = (a) Show that A¡B = A2B and note that A1 7 A2. Thus the cancellation law does not hold for matrices; that is, if A¡B = A2B and B + 0, it does not follow that A1 = A2. (b) Let A = A1-A2 and use part (a) to show that AB = 0. Thus the product of two nonzero matrices may be the zero matrix.

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