If A={:[(2,0,1),(1,0,-1),(0,-1,1)]:}, f...

If `A={:[(2,0,1),(1,0,-1),(0,-1,1)]:},` find the matrix for the polynomial `A^(2)-4A+3I.`

Verified by Experts

The correct Answer is:

`{:[(-1,-1,-1),(-2,4,4),(-1,3,1)]:}`

Similar Questions

Explore conceptually related problems

A= {:[( 1,-1,2),( 3,0,-2),( 1,0,3) ]:} find determinant of A

If A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] , then the trace of the matrix Adj(AdjA) is

If A = [{:(1,0,1),(0,1,2),(0,0,4):}] , then show that |3A|=27|A|.

If A={:[(1,2,1),(1,-1,1),(2,3,-1)]and B={:[(1,4,0),(-1,2,2),(0,0,2)], find the matrix AB - 2B.

If PxxQ={(2,-1),(3,0),(2,1),(3,1),(2,0),(3,-1)} , find P and Q.

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices A + 4B - 3C

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices 2B - 3C

If A={:[(1,2,x),(0,1,0),(0,0,1)]:}, B={:[(1,-2,y),(0,1,0),(0,0,1)]:} and AB=I_(3) , then find the value of x + y + 1.

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices 4C - A

If A={:[(1,0),(-1,7)] and I={:[(1,0),(0,1)] , then find k so that A^(2)=8A+kI