Advertisements
Advertisements
प्रश्न
Find the inverse of the following matrix:
`[(1,-1),(2,3)]`
उत्तर
Let A =`[(1,-1),(2,3)]`
∴ |A| = 3 + 2 = 5
adj A = `[(3,1),(-2,1)]`
`"A"^-1 = 1/|"A"|` adj A = `1/5[(3,1),(-2,1)]`
APPEARS IN
संबंधित प्रश्न
Find the adjoint of the following matrix.
`[(1, -1, 2),(-2, 3, 5),(-2, 0, -1)]`
Find the inverse of the following matrix (if they exist):
`[(2,1),(7,4)]`
Choose the correct answer from the given alternatives in the following question:
If A = `[(lambda,1),(-1, -lambda)]`, and A-1 does not exist if λ = _______
Choose the correct answer from the given alternatives in the following question:
If A−1 = `- 1/2[(1,-4),(-1,2)]`, then A = ______.
If A = `[(-1,2,-2),(4,-3,4),(4,-4,5)]` then, show that the inverse of A is A itself.
adj (AB) is equal to:
If A = `[(4,5),(2,1)]` and A2 - 5A - 6l = 0, then A-1 = ?
If `A = [[-3,1],[-4,3]]` and A-1 = αA, then α = ______.
If matrix A = `[(1, -1),(2, 3)]` such that AX = I, then X is equal to ______.
A–1 exists if |A| = 0.
