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

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

Verify A (a d j A) = (a d j A) A = |A|I [(1,-1,2),(3,0,-2),(1,0,3)]

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 .

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.

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

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

{:(I. "Projection of " I - 2j + k " on " 4i - 4j + 7k, a. 9),(II. "Projection of " 2i - 3j + k " on " 4i - 4j + 7k, b. 3) ,(III. "projection of " 9I - 7j + k " on x-axis", c. 19//9),(IV. "Projection of " 2i - 3j + 6k " on " I + 2j + 2k, d. 8// 3):}