Find the adjoint of the matrices : `[(1,-1,2),(3,0,-2),(1,4,8)]`

Find the adjoint of the matrices : [(-4,1),(3,7)]

Find the inverse of the matrix A, if A=[(3,-2,3),(2,1,-1),(4,-3,2)]

Find the minors and cofactors of the elements of the determinants : |(1,0,4),(3,5,2),(-9,8,6)|

Prove that the matrices [(1,-1),(2,-1)] and [(1,1),(4,-1)] are anti-commutative.

Find the matrices A and B if 2A-B=[(3,-3,0),(3,3,2)], 2B+A=[(4,1,5),(-1,4,-4)]

Find the matrices A and B if A+2B=[(1,2,0),(6,-3,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)]

Find the area of a rhombus if its vertices are (3,0),(4,5),(-1,4) and (-2,-1) taken inorder.

Find the area of the triangle ABC with A(1,-4) and the midpoints of the sides through A being (2,-1) and (0,-1).

Find the value of : |(1,1^2,1^3),(1,2^2,2^3),(1,3^2,3^3)|