[" aplace expansion method : "],[[" (ii) ",[2,-1,-2],[0,2,-1],[3,-5,0]]]

Evaluate the determinants (i) |[3 , -1, -2],[ 0, 0, -1],[ 3, -5, 0]| (ii) |[3 , -4, 5],[ 1, 1, -2],[ 2, 3, 1]| iii) |[0, 1, 2],[ -1, 0, -3],[ -2, 3, 0]| iv) |[2, -1, -2],[ 0, 2, -1],[ 3, -5, 0]|

Evaluate: |(3, -1, -2),(0,0,-1),(3,-5,0)|

If A= [[0,-2,3],[2,0,-1],[-3,1,0]] then A^5 is

Evaluate the determinants (i) {:[( 3,-1,-2),( 0,0,-1),( 3,-5,0) ]:} " " (ii) {:[( 3,-4,5),( 1,1,-2),(2,3,1) ]:} (iii) {:[( 0,1,2),(-1,0,-3),(-2,3,0)]:}" "(iv) {:[(2,-1,-2),(0,2,-1),(3,-5,0)]:}

Find the rank of the following matrices by minor method: (i) [{:(2,-4),(-1,2):}] (ii) [{:(-1,3),(4,-7),(3,-4):}] (iii) [{:(1,-2,-1,0),(4,-6,-3,1):}] (iv) [{:(1,-2,3),(2,4,-6),(5,1,-1):}] (v) [{:(0,1,2,1),(0,2,4,3),(8,1,0,2):}]

Find the inverse of the following matrix by adjoint method. [[1,2,3],[0,2,4],[0,0,5]]