Advertisements
Advertisements
Question
Choose the correct alternative:
If A is a non-singular matrix such that A–1 = `[(5, 3),(-2, -1)]`, then (AT)–1 =
Options
`[(-5, 3),(2, 1)]`
`[(5, 3),(-2, -1)]`
`[(-1, -3),(2, 5)]`
`[(5, -2),(3, -1)]`
Solution
`[(5, -2),(3, -1)]`
APPEARS IN
RELATED QUESTIONS
Find the adjoint of the following:
`[(-3, 4),(6,2)]`
Find the adjoint of the following:
`[(2, 3, 1),(3, 4, 1),(3, 7, 2)]`
Find the adjoint of the following:`1/3[(2, 2, 1),(-2, 1, 2),(1, -2, 2)]`
Find the inverse (if it exists) of the following:
`[(-2, 4),(1, -3)]`
Find the inverse (if it exists) of the following:
`[(5, 1, 1),(1, 5, 1),(1, 1, 5)]`
If A = `1/9[(-8, 1, 4),(4, 4, 7),(1, -8, 4)]`, prove that `"A"^-1 = "A"^"T"`
If A = `[(3, 2),(7, 5)]` and B = `[(-1, -3),(5, 2)]`, verify that (AB)–1 = B–1 A–1
If adj(A) = `[(2, -4, 2),(-3, 12, -7),(-2, 0, 2)]`, find A
If adj(A) = `[(0, -2, 0),(6, 2, -6),(-3, 0, 6)]`, find A–1
A = `[(1, tanx),(-tanx, 1)]`, show that AT A–1 = `[(cos 2x, - sin 2x),(sin 2x, cos 2x)]`
Find the matrix A for which A`[(5, 3),(-1, -2)] = [(14, 7),(7, 7)]`
Choose the correct alternative:
If |adj(adj A)| = |A|9, then the order of the square matrix A is
Choose the correct alternative:
If A is a 3 × 3 non-singular matrix such that AAT = AT A and B = A-1AT, then BBT =
Choose the correct alternative:
If + = `[(1, x, 0),(1, 3, 0),(2, 4, -2)]` is the adjoint of 3 × 3 matrix A and |A| = 4, then x is
Choose the correct alternative:
If A B, and C are invertible matrices of some order, then which one of the following is not true?