NCERT Solutions for class 12 Maths | Chapter 3 - Matrices

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Questions
1 If Matrices = 0, the value of x is
A 3
B 8
C 24
D 0

Answer:8
2 If Matrices
A a unit matrix
B A
C a null matrix
D -A

Answer:a unit matrix
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3 If A = Class 12 Matrices 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

Class 12 Matrices 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

Class 12 Matrices

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 Class 12 Matrices
A -7
B -11
C -2
D 14

Answer:-2
9 If Class 12 Matrices 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 = Class 12 Matrices and |A³| = 25 then α is
A ±3
B ±2
C ±5
D 0

Answer:±3
12 The matrix P = Class 12 Matrices
A square matrix
B diagonal matrix
C unit matrix
D None of these

Answer:square matrix
13 The matrix Class 12 Matrices is a
A diagonal matrix
B symmetric matrix
C skew symmetric matrix
D scalar matrix

Answer:skew symmetric matrix
14 If Class 12 Matrices then the value of w is
A 3
B 4
C 8
D 6

Answer:4
15 If A = Class 12 Matrices then A³ – 7A² + 10A =
A 5I + A
B 5I – A
C 5I
D 6I

Answer:5I – A
16 If A = Class 12 Matrices then A-1 exists if
A λ = 2
B λ ≠ 2
C λ ≠ -2
D none of these

Answer:none of these
17 If Class 12 Matrices then xy equal to
A -5
B -4
C 4
D 5

Answer:-5
18 If Class 12 Matrices then (x, y) is
A (-1, 2)
B (-1, -2)
C (-2, -1)
D (1, -2)

Answer:(-1, 2)
19 The matrix Class 12 Matrices is a
A identity matrix
B symmetric matrix
C skew symmetric matrix
D None of these

Answer:symmetric matrix
20 The matrix A = Class 12 Matrices is a
A unit matrix
B diagonal matrix
C symmetric matrix
D skew symmetric matrix

Answer:symmetric matrix

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