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NCERT Solutions for class 12 Maths | Chapter 3 - Matrices

(1) If = 0, the value of x is
[A] 3
[B] 8
[C] 24
[D] 0
Answer: 8
(2) If
[A] a unit matrix
[B] A
[C] a null matrix
[D] -A
Answer: a unit matrix

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(3) If A = then A + AT = I if the value of x is
[A] π/6
[B] π/3
[C] π
[D] 0
Answer: π/3
(4) The matrix is
[A] a symmetric matix
[B] a skew-sybtmetric matrix
[C] a diagonal matrix
[D] None of these
Answer: None of these
(5) If matrix A = [aij]2×2 where aij = then A² is equal to
[A] I
[B] A
[C] O
[D] None of these
Answer: I
(6) The order of the single matrix obtained from

is

[A] 2 × 2
[B] 2 × 3
[C] 3 × 2
[D] 3 × 3
Answer: 3 × 3
(7) Find x, y, z and w respectively such that

[A] 7, 2, 1, 1
[B] 7, 5, 3, 8
[C] 1, 2, 5, 6
[D] 6, 3, 2, 1
Answer: 7, 2, 1, 1
(8)
[A] -7
[B] -11
[C] -2
[D] 14
Answer: -2
(9) If then X=
[A] ±6
[B] 6
[C] -5
[D] 7
Answer: -5
(10) If A = where A² = B then the value of α is
[A] 1
[B] -1
[C] 4
[D] we cant calculate the value of α
Answer: we cant calculate the value of α
(11) If A = and |A³| = 25 then α is
[A] ±3
[B] ±2
[C] ±5
[D] 0
Answer: ±3
(12) The matrix P =
[A] square matrix
[B] diagonal matrix
[C] unit matrix
[D] None of these
Answer: square matrix
(13) The matrix is a
[A] diagonal matrix
[B] symmetric matrix
[C] skew symmetric matrix
[D] scalar matrix
Answer: skew symmetric matrix
(14) If then the value of w is
[A] 3
[B] 4
[C] 8
[D] 6
Answer: 4
(15) If A = then A³ – 7A² + 10A =
[A] 5I + A
[B] 5I – A
[C] 5I
[D] 6I
Answer: 5I – A
(16) If A = then A-1 exists if
[A] λ = 2
[B] λ ≠ 2
[C] λ ≠ -2
[D] none of these
Answer: none of these
(17) If then xy equal to
[A] -5
[B] -4
[C] 4
[D] 5
Answer: -5
(18) If then (x, y) is
[A] (-1, 2)
[B] (-1, -2)
[C] (-2, -1)
[D] (1, -2)
Answer: (-1, 2)
(19) The matrix is a
[A] identity matrix
[B] symmetric matrix
[C] skew symmetric matrix
[D] None of these
Answer: symmetric matrix
(20) The matrix A = is a
[A] unit matrix
[B] diagonal matrix
[C] symmetric matrix
[D] skew symmetric matrix
Answer: symmetric matrix

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