12th Maths Guide Solution Application of Matrices and Determinants Exercise 1.8

Question no 1: If |adj(adj A) |=| A|⁹, then the order of the square matrix A is?

(a) 3
(b) 4
(c) 2
(d) 5

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Question no 2: If A is a 3 × 3 non-singular matrix such that AA^T = A^T A and B = A^-1A^T, then BB^T =

(a) A
(b) B
(C) I₃
(d) B^T

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Question no 3:

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Question no 20: Which of the following is/are correct?

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Question no 21: If ρ(A) ρ([A | B]), then the system AX = B of linear equations is

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Question no 22: If 0 ≤ θ ≤ π and the system of equations x + (sin θ)y – (cos θ)z = 0, (cos θ) x – y + z = 0, (sin θ) x + y + z = 0 has a non-trivial solution then θ is

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