Advertisements
Advertisements
Question
Choose the correct alternative:
If A = `[(7, 3),(4, 2)]` then 9I2 – A =
Options
`"A"^-1`
`"A"^-1/2`
`3"A"^-1`
`2"A"^-1`
Solution
`2"A"^-1`
APPEARS IN
RELATED QUESTIONS
Find the adjoint of the following:`1/3[(2, 2, 1),(-2, 1, 2),(1, -2, 2)]`
If `"F"(alpha) = [(cosalpha, 0, sinalpha),(0, 1, 0),(-sinalpha, 0, cosalpha)]`, show that `["F"(alpha)]^-1 = "F"(- alpha)`
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 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
Find adj(adj(A)) if adj A = `[(1, 0, 1),(0, 2, 0),(-1, 0, 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 A = `[(1, -2),(1, 4)] = [(6, 0),(0, 6)]`, then A =
Choose the correct alternative:
If A = `[(2, 0),(1, 5)]` and B = `[(1, 4),(2, 0)]` then |adj (AB)| =
Choose the correct alternative:
If ATA–1 is symmetric, then A2 =
Choose the correct alternative:
If A is a non-singular matrix such that A–1 = `[(5, 3),(-2, -1)]`, then (AT)–1 =
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
