Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If A is a non-singular matrix such that A–1 = `[(5, 3),(-2, -1)]`, then (AT)–1 =
विकल्प
`[(-5, 3),(2, 1)]`
`[(5, 3),(-2, -1)]`
`[(-1, -3),(2, 5)]`
`[(5, -2),(3, -1)]`
उत्तर
`[(5, -2),(3, -1)]`
APPEARS IN
संबंधित प्रश्न
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)]`
Find the inverse (if it exists) of the following:
`[(2, 3, 1),(3, 4, 1),(3, 7, 2)]`
If A = `[(5, 3),(-1, -2)]`, show that A2 – 3A – 7I2 = O2. Hence find A–1
If A = `1/9[(-8, 1, 4),(4, 4, 7),(1, -8, 4)]`, prove that `"A"^-1 = "A"^"T"`
If adj(A) = `[(0, -2, 0),(6, 2, -6),(-3, 0, 6)]`, find A–1
Find adj(adj(A)) if adj A = `[(1, 0, 1),(0, 2, 0),(-1, 0, 1)]`
Given A = `[(1, -1),(2, 0)]`, B = `[(3, -2),(1, 1)]` and C = `[(1, 1),(2, 2)]`, find a martix X such that AXB = C
If A = `[(0, 1, 1),(1, 0, 1),(1, 1, 0)]`, show that `"A"^-1 = 1/2("A"^2 - 3"I")`
Decrypt the received encoded message [2 – 3][20 – 4] with the encryption matrix `[(-1, -1),(2, 1)]` and the decryption matrix as its inverse, where the system of codes are described by the numbers 1 – 26 to the letters A – Z respectively, and the number 0 to a blank space
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 = `[(1, -2),(1, 4)] = [(6, 0),(0, 6)]`, then A =
Choose the correct alternative:
If A = `[(7, 3),(4, 2)]` then 9I2 – A =
Choose the correct alternative:
If A B, and C are invertible matrices of some order, then which one of the following is not true?
Choose the correct alternative:
If ATA–1 is symmetric, then A2 =
Choose the correct alternative:
Which of the following is/are correct?
(i) Adjoint of a symmetric matrix is also a symmetric matrix.
(ii) Adjoint of a diagonal matrix is also a diagonal matrix.
(iii) If A is a square matrix of order n and λ is a scalar, then adj(λA) = λn adj (A).
(iv) A(adj A) = (adj A)A = |A|I
