Verify `A (a d j A) = (a d j A) A = |A|I`

If A=[[cosalpha,-sinalpha,0],[sinalpha,cosalpha,0],[ 0, 0, 1]] , find a d j\ A and verify that A(a d j\ A)=(a d j\ A)A=|A|I_3 .

Verify A" "(a d j" "A)" "=" "(a d j" "A)" "A" "=" "|A|"I" [2 3-4-6]

Find the adjoint of the following matrices: [(-3, 5),( 2, 4)] Verify that (a d j\ A)A=|A|I=A(a d j\ A) for the above matrices.

Find the adjoint of the following matrices: [(cosalpha,sinalpha),(sinalpha,cosalpha)] (ii) [(1,tanalpha//2),(-tanalpha//2, 1)] Verify that (a d j\ A)A=|A|I=A(a d j\ A) for the above matrices.

Compute the adjoint of the matrix A given by A=[[1, 4, 5], [3, 2, 6], [0 ,1 ,0]] and verify that A(a d j\ A)=|A|I=(a d j\ A)Adot

If A=[[3,-3, 4], [2,-3, 4], [0,-1, 1]] , then a. a d j(a d j A)=A b. |a d j(a d j A)|=1 c. a d j A=I d. none of these

If A=[[3,-3, 4], [2,-3, 4], [0,-1, 1]] , then a. a d j(a d j A)=A b. |a d j(a d j A)|=1 c. a d j A=I d. none of these

If A=[[1 ,3 ,3],[ 1, 4 ,3],[ 1, 3, 4]] ,then verify that A a d j A = |A|I . Also find A^(-1) .

If A=[(2,-1, 1),(-1, 2,-1),( 1,-1, 2)] , find (a d j A)^(-1) and (a d j A^(-1)) .

If A is a non-singular matrix, prove that (a d j\ A)^(-1)=(a d j\ A^(-1)) .