Find the value of b for which the matrix A have three eigen value `1,3,2 A= [(1,0,1),(0,2,1),(2,0,b)]`

Find the value of b for which the matrix A have three eigen value 1,3,2A=[[1,0,10,2,12,0,b]]

Which of the following matrices have eigen values as 1 and -1 ? (a) [(0,1),(1,0)] (b) [(0,1),(1,0)] (c) [(1,0),(0,-1)] (d) [(1,0),(0,1)]

If A= [(0,1,1),(0,0,1),(0,0,0)] is a matrix of order 3 then the value of the matrix (I+A)-2A^2(I-A), where I is a unity matrix is equal to (A) [(1,0,0),(1,1,0),(1,1,1)] (B) [(1,-1,-1),(0,1,-1),(0,0,1)] (C) [(1,1,-1),(0,1,1),(0,0,1)] (D) [(0,0,2),(0,0,0),(0,0,0)]

A value of b for which the rank of the matrix A=[[1,1,-1,0],[4,4,-3,1],[b,2,2,2],[9,9,b,3]] is 3 ,is

Eigen values of the matrix A={:[(3,+2),(1,2)]:} are

The sum of the eigen values of the matrix A=[[2,-1,3],[1,4,2],[3,1,1]] is

" (b) Find the Eigen values and Eigen vectors of the matrix A=[[2,0,1],[0,2,0],[1,0,2]]

The eigen values of the matrix A = [[2,3,0],[0,1,0],[0,0,2]] are