ECAT Mathematics Chapter 5 online mcq test with answers for chapter 5 (Matrices and Determinants)

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Sr.#	Question	Answer
1		A. a = 4, b = 1 B. a = 1, b = -4 C. a = 0, b = 4 D. a = 2, b = 4
2		A. 2s² B. 2s³ C. s³ D. 3s³
3		A. B. C. D.
4		A. 0 B. 1 C. 2 D. 3
5	The matrix A = [aij]mxn with m ≠n is always	A. Symmetric B. Hermition C. Skew-symmetric D. None
6		A. Diagonal matrix B. Scalar matrix C. Triangular matrix D. Identity matrix
7		A. B. C. D. all are correct
8	Which of the following is an identity matrix?	A. B. C. D. none of these
9	System of linear equations is inconsistent if	A. System has no solution B. System has one solution C. System has two solution D. None of above
10	The matrix A = [aij]mxn with m≠n is	A. Rectangular B. Symmetric C. Square D. None
11	We also the system of non-homogeneous linear equations by	A. a and b B. b and c C. c and a D. a, b and c
12		A. Square matrix B. Row matrix C. Symmetric matrix D. Null matrix
13		A. B. C. D.
14	A matrix with a single row is called a	A. Column matrix B. Row matrix C. Null matrix D. Identity matrix
15	If A = [aij]mxpand B =[aij]pxnthen order of BA is	A. m x n B. p x n C. n x m D. None of these
16	For trival solution \|A\| is	A. A B. \|A\| = 0 C. A = 0 D. \|A\|≠ 0
17	If A and B are two matrices such that AB = B and BA =A, then A²+ B²=	A. 2 AB B. 2 BA C. A + B D. AB
18		A. 3K B. K2 C. K3 D. K
19	Cofactor of an element a_ijis defined by	A. (-1)^i+j\|A\| B. (-1)^i+jM_ij C. (-1)^i+jM^-1 D. None of these
20		A. Diagonal matrix B. Scalar matrix C. Triangular matrix D. Identity matrix
21		A. 0 B. Independent of a C. Independent of b D. Independent of c
22		A. 0 B. 1 C. -2 D. 10
23		A. 2 B. 4 C. 6 D. 8
24	Which of the following is skew symmetric matrix	A. B. C. D.
25		A. Identity matrix B. Diagonal matrix C. Null matrix D. Hermitian matrix
26		A. A(α) - A(β) B. A(α) + A(β) C. A(α-β) D. A(α+β)
27	A square matrix all of whose elements except the main diagonal are zeros is called a	A. Null matrix B. Singular matrix C. Symmetric matrix D. Diagonal matrix
28	A and B be two square matrices and if their inverse exist the (AB)-1 =	A. A-1 B-1 B. AB-1 C. A-1B D. B-1A-1
29	If A is singular then \|A\| = ______	A. 1 B. 0 C. 2 D. None of these
30		A. B. C. D.