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A = [(2,-1,1)(-1,2,-1)(1,-1,2)], then verify that A^3- 6A^2+9A-4I = 0 and hence find.A^-1.

+3 votes
in Class 12 by kratos

A = [(2,-1,1)(-1,2,-1)(1,-1,2)], then verify that A3- 6A2+9A-4I = 0 and hence find.A-1.

1 Answer

+5 votes
by kratos
 
Best answer

A3-6A2 +9A-4I= 0

Pre-multiplying by A-1, we get

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