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

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

Evaluate =|23-2123-21-3|by expanding it along the second row.

Find value of abs{:(1, - 1, 2),(-2, 3, 5),(-2, 0 , -1):} by expanding along 2nd row

Let |A|=|[x_1, x_2, x_3],[ y_1, y_2, y_3],[ z_1 , z_2, z_3]| .Expand |A| along the first row and along the first column. Comment on the two results.

Find value of abs{:(1, - 1, 2),(-2, 3, 5),(-2, 0 , -1):} by expanding along 3rd column and Interprete the result.

Find the rank of the matrix [[2,1,1],[-1,2,-3],[4,2,2]] by reducing it to a row - echelon matrix.

Compute all minors,cofactors of A hence compute A ia A= |(2,1,2),(1,1,0),(2,1,-1)| .Hence find|A| by expanding along any row or column

Find the rank of the matrix [[1,-1,2],[3,1,-2],[2,2,1]] by reducing it to a row - echelon matrix.

Consider the determinant D=|[1,3,5],[2,6,10],[31,11,38]| Evaluate Delta directly by expanding along 2^(nd) row and see that the answer is the same .

Find the rank of the matrix [{:(1,2,3),(2,1,4),(3,0,5):}] by reducing it to a row-echelon form.