If `[[1,0,0],[0,2,0],[3,0,-1]] and A^20 +alphaA^19+betaA=[[1,0,0],[0,4,0],[0,0,1]]` Find the value of `(alpha+beta)`

If A=[[1,0,0],[0,1,0],[a,b,-1]] , find A^2

If the matrix A=[[1,0,0] , [0,2,0], [3,0,-1]] satisfies the equation A^(20)+alpha A^(19)+beta A = [[1,0,0] , [0,4,0] , [0,0,1]] for some real numbers alpha and beta then beta-alpha=

If A=[[0,-1,0],[1,0,0],[0,0,-1]] , then A^(-1) is

If A=|[1,0,1],[0,1,2],[0,0,4]| then |3A|

If A=[[1,0,0],[0,1,0],[0,0,1]] then value of |A+A'| is 1)2 2)8 3)4 4)0

Find the rank of [[1,0,0],[0,0,1],[0,1,0]]

If A=[[1,4],[2,3]] , and B+A=[[0,0],[0,0]] ,then find the value of B .