Advertisements
Advertisements
Question
If A is 3 × 3 matrix and |A| = 4 then |A-1| is equal to:
Options
`1/4`
`1/16`
2
4
Solution
`1/4`
APPEARS IN
RELATED QUESTIONS
Solve the following equations by the inversion method :
2x + 3y = - 5 and 3x + y = 3.
Find the inverse of `[(1,2,3),(1,1,5),(2,4,7)]` by the adjoint method.
Find the adjoint of matrix A = `[(6, 5),(3, 4)]`
If A = `[(1, 0, 0),(3, 3, 0),(5, 2, -1)]`, find A−1 by the adjoint method
Show that the matrices A = `[(2,2,1),(1,3,1),(1,2,2)]` and B = `[(4/5,(-2)/5,(-1)/5),((-1)/5,3/5,(-1)/5),((-1)/5,(-2)/5,4/5)]` are inverses of each other.
If X = `[(8,-1,-3),(-5,1,2),(10,-1,-4)]` and Y = `[(2,1,-1),(0,2,1),(5,p,q)]` then, find p, q if Y = X-1
If A2 - A + I = 0, then A-1 = ______.
The matrix `[(lambda, 1, 0),(0, 3, 5),(0, -3, lambda)]` is invertible ______.
Matrix A = `[(1, 2, 3),(1, 1, 5),(2, 4, 7)]` then the value of a31 A31 + a32 A32 + a33 A33 is ______.
For a invertible matrix A if A(adjA) = `[(10, 0),(0, 10)]`, then |A| = ______.
