Home
Class 12
MATHS
If A={:[(1,0),(-1,7)] and I={:[(1,0),(0,...

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

Text Solution

Verified by Experts

The correct Answer is:
K = -7
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If A={:[(0,-1),(1,0)]:} and B={:[(0,i),(i,0)]:} , then

If [(0, 1), (-1,0)]^n = [(1,0),(0, 1)] then the value of n is

If A={:[(1,0),(1/2,1)]:} then A^(100)={:[(1,0),(10xxlamda,1)]:}, find the value of lamda .

If A={:[(i,-i),(-i,i)]:} and B={:[(1,-1),(-1,1)]:} then the value of A^(4)=KB, find the value of K.

If A={:[(a,b),(c,d)] and I={:[(1,0),(0,1)] Show that, A^(2)-(a+d)A=(bc-ad)I .

If A={:[(2,-1),(3,2)]:} and B={:[(0,4),(-1,7)]:}, find 3A^(2)-2B+I

If A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]], find the values of alpha for which A^2=Bdot

If A={:[(1,-2,2),(0,1,-1),(0,0,1)]:} and B={:[(1,2,0),(2,3,-1),(0,-1,-2)]:}, then show that, (A'B)A is a diagonal matrix.

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.