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

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Sr.#	Question	Answer
1	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
2	A square matrix A = [aij] is lower triangular matrix when	A. aij = 0 for all i<j B. bij = 0 C. cij = 0 D. dij = 0
3	A matrix in which the number of rows is not equal to the number of columns is called a	A. Diagonal matrix B. Rectangular matrix C. Square matrix D. Scalar matrix
4
5	A non-homogeneous linear system AX = B has no solution if	A. \|A\| = 0 B. \|A\|≠ 0 C. Rank (a) = no of variables D. Rank > no of variables
6	Two matrices A and B are conformable for the product AB if	A. Both A and B are square B. Both A and B are symmetric C. Number of rows of A = number of columns of B D. Number of columns of A = number of rows of B
7		A. 4A - 3I B. 3A - 4I C. A - I D. None of these
8	The number of non zero rows in echelon form of a matrix is called	A. Order of matrix B. Rank of matrix C. Row operation D. None of these
9	Let A is a 3 x 3 matrix and B is its adjoint matrix. If \|B\| = 64, then \|A\| =
10	For any positive integer n	A. ABn = Bn A ⇔ AB = BA B. ABn = Bn A⇔ A,B are square matrices and AB = BA C. ABn = BnA⇔ A + B D. ABn = BnA ⇔ A and B are square matries
11	If A is any matrix then its additive inverse is	A. A B. A^-1 C. A^t D. -A
12
13	Let A be a square matrix. Then, 1/2 (A-A') is	A. Skew-symmetric B. Symmetric C. Null D. None of the above
14	Which of the following is skew symmetric matrix
15	A and B be two square matrices and if their inverse exist, the (AB)^-1=	A. A^-1B^-1 B. AB^-1 C. A^-1B D. B^-1A^-1
16		A. a = 4, b = 1 B. a = 1, b = -4 C. a = 0, b = 4 D. a = 2, b = 4
17	If A and B are skew-symmetric then (AB)t is	A. At Bt B. AB C. -AB D. BA
18	If there are m rows and n columns in a matrix then its order is	A. m x n B. m x m C. n x n D. n x m
19	Minor of an element a_ijis denoted by	A. M_ij B. A_ij C. \|A\| D. None of these
20	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
21	If order of A is m x n, then order of A^tis	A. m x m B. n x n C. m x n D. n x m
22	A matrix in which the number of rows is equal to the number of columns is called a	A. Diagonal matrix B. Rectangular matrix C. Square matrix D. Scalar matrix
23	For non-trival solution \|A\| is	A. non zero B. A = 0 C. \|A\| = 0 D. At = 0
24		A. k3 B. 0 C. 3k D. k6
25	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
26	If A is singular then \|A\| = ______	A. 1 B. 0 C. 2 D. None of these
27		A. An upper triangular matrix B. A lower triangular matrix C. A diagonal matrix D. A null matrix
28
29	If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is	A. Skew-symmetric B. Symmetric C. Null D. Diagonal
30	(ABC)' =	A. CBA' B. CBA C. C'B'A D. C'B'A'

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ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 5 (Matrices and Determinants)

MCQ's Test For ECAT (Pre-Eng) Mathematics Chapter 5 Matrices and Determinants

ECAT (Pre-Eng) Mathematics Chapter 5 Matrices and Determinants

A = [3] is a/an

If the trace of matrix A is 5, then the trace of the matrix 3A is

A matrix in which the number of rows is not equal to the number of columns is called a

If A = [aij] is (m x n) matrix, then transpose of A is of the order

If A is any matrix then its additive inverse is

Matrix multiplication is

A square matrix A for which At= A is called a

The transpose of a zero matrix is a ______

If A = [aij]mxpand B =[aij]pxnthen order of BA is

Every identity matrix is

A matrix in which the number of rows is equal to the number of columns is called a

A matrix with a single column is called

For any positive integer n

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Top Scorers Of ECAT (Pre-Eng) Mathematics Chapter 5 Matrices and Determinants MCQ`s Test

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If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

A square matrix A for which A^t= A is called a