[1,a,6],[1,6,0],[1,c,ab]|

If A=abs[[1,2,0],[1,1,0],[-1,4,0]],B=abs[[1,2,3],[1,1,-1],[4,-3,2]] and C= abs[[1,2,3],[1,1,-1],[2,2,2]] then prove that A(BC)=(AB)C

If C=2 cos theta , then the value of the determinant Delta= |[C,1,0],[1,C,1],[6,1,C]| is

If A =[[1,2,3],[-1,0,2],[1,-3,-1]] , B= [[4,5,6],[-1,0,1],[2,1,2]] and C=[[-1,-2,1], [-1,2,3],[-1,-2,2]] verify that A(B+C)=AB+AC .

If A =[[1,2,3],[-1,0,2],[1,-3,-1]] , B= [[4,5,6],[-1,0,1],[2,1,2]] and C=[[-1,-2,1], [-1,2,3],[-1,-2,2]] verify that A(B+C)=AB+AC .

Delta=abs([1xx5,2xx5,3xx5],[3,1,6],[4,2,1]) =5 abs([1,2,3],[3,1,6],[4,2,1])

If A=[[1,0,0],[0,1,1],[0,-2,4]] and 6A^(-1)=A^2+cA+dI . Then c+d is

Let abs[[1,3,2],[2,0,1],[3,4,3]]=3 ,then what is the value of abs[[1,3,2],[4,0,2],[3,4,3]]= and abs[[6,7,6],[2,0,1],[3,4,3]]= (Hint: Use the properties of determinants)

Compute the adjoint of the matrix, A: [[1,4,5],[3,2,6],[0,1,0]] and verify that: A(AdjA) = abs(A)I .

Find AB and BA given that: A=[[7,5],[6,4]],B=[[1,0],[0,1]]

If A=[[1,2,1] , [1,-4,1] , [3,0,-3]], B=[[2,1,1] , [1,-1,0] , [2,1,-1]] then show that AB=6I_3