Commerce (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

If `A=[[2,3],[5,-2]]` then write A^-1

Show that the four points A(4, 5, 1), B(0, –1, –1), C(3, 9, 4) and D(–4, 4, 4) are coplanar.

Find λ, if the vectors `veca=hati+3hatj+hatk,vecb=2hati−hatj−hatk and vecc=λhatj+3hatk`  are coplanar.

Find the inverse of each of the matrices, if it exists. [`(1, -1),(2,3)`]

Find the inverse of each of the matrices, if it exists.` [(2,1),(1,1)]`

Find the inverse of each of the matrices, if it exists.

`[(1,3),(2,7)]`

Find the inverse of each of the matrices, if it exists. 

`[(2,3),(5,7)]`

Find the inverse of each of the matrices, if it exists.

`[(2,7),(1,4)]`

Find the inverse of each of the matrices, if it exists.

`[(2,5),(1,3)]`

Find the inverse of each of the matrices, if it exists.

`[(3,1),(5,2)]`

Find the inverse of each of the matrices, if it exists.

`[(4,5),(3,4)]`

Find the inverse of each of the matrices, if it exists.

[(3,10),(2,7)]

`Find the inverse of each of the matrices, if it exists.

`[(3,-1),(-4,2)]`

Find the inverse of each of the matrices, if it exists.

`[(2, -6),(1, -2)]`

Find the inverse of each of the matrices, if it exists.

`[(6,-3),(-2,1)]`

Find the inverse of each of the matrices, if it exists.

`[(2,-3),(-1,2)]`

Find the inverse of each of the matrices, if it exists.

`[(2,1),(4,2)]`

Find the inverse of each of the matrices, if it exists.

`[(2,-3,3),(2,2,3),(3,-2,2)]`

Find the inverse of each of the matrices, if it exists.

`[(1,3,-2),(-3,0,-5),(2,5,0)]`

Find the inverse of each of the matrices, if it exists.

`[(2,0,-1),(5,1,0),(0,1,3)]`