If `A=[[2,a,-3] , [0,2,5] , [1,1,3]]` then,find the value of a for which `A^(-1)` exists.

If A=[[2,0,1],[2,1,3],[1,-1,0]] , then find value of A^(2)-5A+6I

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

If A= ((2,0,1),(2,1,3),(1,-1,0)) then find the value of A^(2)-3A +2I.

If A = [{:( 2 , lamda, - 3),( 0,2, 5),(1,1,3):}], then inverse of matrix A will exist if :

3.Find the value of (5^0 +4^-1) times 2^2

IF A=[[2,1],[1,3]:}] and B=[[3,2,0],[1,0,4]:}] , then find AB. Find BA if it exists.

Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}] . Find the sum of all the value of lamda for which there exists a column vertor Xne0 such that AX=lamdaX .

Let A=[{:(1,2,1),(0,1,-1),(3,1,1):}] . Find the sum of all the value of lamda for which there exists a column vertor Xne0 such that AX=lamdaX .

If A = [ (2,lambda,-3),(0,2,5),(0,1,3)] , then A^(-1) exists if :