If A=[[1,-3,2],[2,0,-1],[1,2,3]],then sh...

If `A=[[1,-3,2],[2,0,-1],[1,2,3]]`,then show that `A` satisfies the equation `A^3-4A^2-3A +11I=0` where `O ` and `I` are null and identity matrix of order `3` respectively.

Similar Questions

Explore conceptually related problems

If A=[[1,3,2],[2,0,-1],[1,2,3]] ,such that A satisfies the equation A^(3)-4A^(2)-3A+kI=O where k-2

If A=[[1,-3,22,0,-11,2,3]], then show that AA^(3)-4A^(2)-3A+11I=0 where O and I are null and identity matrix of order 3 respectively.

Show that the matrix A=[2 3 1 2] satisfies the equation A^2-4A+I=0

show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

Show that A = [[1,2,2],[2,1,2],[2,2,1]] satrisfies the matrix equation A^2-4A-5I_3 =0

Show that the matrix A=[(2, 3), (1, 2)] satisfies the equation A^3-4A^2+A=O .

Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 and hence find A^(-1) .

Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equation A^2-4A-5I_3=0 and hence find A^(-1)

Show that the matrix, A=[[1, 0,-2],[-2,-1, 2],[ 3, 4, 1]] satisfies the equation, A^3-A^2-3A-I_3=O . Hence, find A^(-1) .