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ECAT – Mathematics (Matrices & Determinants)

Matrices and Determinants Multiple Choice Questions,the following sample question are from Matrices, Determinants, their properties & key facts.

 

Mathematics-Matrices & Determinants Sample Questions

1. If the order of matrix A is m\times p . And the order of B is p\times n . Then the order of matrix AB is ?
(A) m × n
(B) n × m
(C) n × p
(D) m × p

2. If A and B are matrices, then which from the following is true ?
(A) A + B ≠ B + A
(B) (At)t ≠ A
(C) AB ≠ BA
(D) all are true

3. What is ‘a’, if

 is a singular matrix ?
(A) 5
(B) 6
(C) 7
(D) 8

4. If

 then |A| = ?
(A) 2
(B) 3
(C) 4
(D) 5

5. If

 then order of matrix A = ?
(A) 2 x 2
(B) 2 x 3
(C) 3 x 2
(D) 3 x 3

Answers

1. A
2. C
3. D
4. B
5. B

6. The number of non-zero rows in an echlon form is called ?
(A) reduced echlon form
(B) rank of a matrix
(C) conjugate of the matrix
(D) co-factor of the matrix

7.
(A) BtAt
(B) AtBt
(C) AB
(D) BA

8. The matrix

is a ?
(A) symmetric
(B) skew-symmetric
(C) hermitian
(D) skew-hermitian

9. If

then |A| = ?
(A) 30
(B) 40
(C) 50
(D) 60

10. The matrix

is a ?
(A) even matrix
(B) odd matrix
(C) scalar matrix
(D) identity matrix

Anwers

6. B
7. A
8. A
9. D
10. C

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