Evaluate: ` |[^xC_1, ^xC_2, ^xC_3],[^yC-1, ^yC_2, ^yC_3],[^zC_1, ^zC_2, ^zC_3]| `

Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]|

Evaluate the following |(1, 1, 1),(a^2,b^2,c^2),(a^3,b^3,c^3)|

Evaluate the following : [[1,2,-3],[-2,1,7]] [[2,3,1],[5,4,2],[1,6,3]]

Evaluate D =|[2, 3,-2],[ 1, 2, 3],[-2, 1,-3]| by expanding it along the second row.

Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[6]]

Evaluate |[1,2,3],[-2,3,2],[3,4,-4]|xx|[-2,1,3],[3,-2,1],[2,1,-2]| . Using the concept of multiplication of determinants.

Evaluate the determinant D=|[2 ,3,-2],[ 1, 2 ,3],[-2, 1,-3]| by expanding it along first row.

Evaluate: (1/2)^3+\ (1/3)^3-\ \ (5/6)^3

Find the adjoint of matrix A=[a_(i j)]=|[1, 1, 1], [2, 1,-3],[-1, 2, 3]| .

If A=[[3, -1, 4], [2, 3, 1]], B=[[1, 3, 4], [2, 1, 0], [-3, 2, 3]] find AB