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

Show that the matrix A=[[2,31,2]] satisfies the equation A^(3)-4A^(2)+A=O

Show that the matrix A=[[2,31,2]] satisfies the equation A^(2)-4A+I=0

Show that the matrix A=[{:(2,3),(1,2):}] satisfies the equation A^(2)-4A+I=O and hence, find A^(-1) .

Show that the matrix A=[122212221] satisfies the equation A^(2)-4A-5I_(3)=O and hence find A^(-1) .

Show that the matrix,A=[10-2-2-12341] satisfies the equation,A^(3)-A^(2)-3A-I_(3)=O. Hence, find A^(-1).

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

Show that thematrix A= [{:(,2,3),(,1,2):}] satisfies the equations A^(2)-4A+I=0 where I is 2 xx 2 identity matrix and O is 2 xx 2 zero matrix. Using the equations. Find A^(-1) .

Find the inverse of each of the matrices given below : Show that the matrix A=[(-8,5),(2,4)] satisfies the equation A^(2)+4A-42I=0 and hence find A^(-1) .

Show that A=[-8524] satisfies the equation A^(2)+4A-42I=O. Hence,find A^(-1).

Let A be a square matrix of order 3 satisfies the relation A^(3)-6A^(2)+7A-8I=O and B=A-2I . Also, det. A=8 , then