Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test With Answers

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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test

Sr. # Questions Answers Choice
1 If A is any matrix then its additive inverse is A A<sup>-1</sup> A<sup>t</sup> -A
2
3 The transport of a rectangular matrix is a Square matrix Rectangular matrix Row matrix Column matrix
4 The transport of a square matrix is a Row matrix Column matrix Square matrix Null matrix
5 The transport of a null matrix is Row matrix Column matrix Square matrix Null matrix
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7 Two matrices A and B are conformable for the product AB if Both A and B are square Both A and B are symmetric Number of rows of A = number of columns of B Number of columns of A = number of rows of B
8 3 x 1 1 x 3 3 x 3 1 x 1
9 In order of A is m x n and order of B is n x p then order of AB is m x m n x n m x p p x m
10 Square matrix Row matrix Symmetric matrix Null matrix
11 Hermitian matrix Skew-hermitian matrix Symmetric matrix Identity matrix
12 Identity matrix Diagonal matrix Null matrix Hermitian matrix
13 A square matrix A for which At= -A is called a Column matrix Symmetric matrix Skew-symmetric matrix Row matrix
14 A square matrix A for which At= A is called a Column matrix Symmetric matrix Skew-symmetric matrix Row matrix
15 Scalar matrix Identity matrix Null matrix Symmetric matrix
16 A diagonal matrix in which the diagonal elements are equal is called a Null matrix Identity matrix Scalar matrix Row matrix
17 A square matrix all of whose elements except the main diagonal are zeros is called a Null matrix Singular matrix Symmetric matrix Diagonal matrix
18 A matrix with a single column is called Column matrix Row matrix Identity matrix Null matrix
19 A matrix with a single row is called a Column matrix Row matrix Null matrix Identity matrix
20 A matrix in which the number of rows is equal to the number of columns is called a Diagonal matrix Rectangular matrix Square matrix Scalar matrix
21 A matrix in which the number of rows is not equal to the number of columns is called a Diagonal matrix Rectangular matrix Square matrix Scalar matrix
22 2 x 2 2 x 3 3 x 2 3 x 3
23 2 x 2 2 x 3 3 x 2 3 x 3
24 The order of the matrix [1 2 3] is 1 x 1 3 x 3 3 x 1 1 x 3
25 If there are m rows and n columns in a matrix then its order is m x n m x m n x n n x m
26 The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is 2 x 3 3 x 2 2 x 5 5 x 2
27 If for the matrix A,A5 = 1,then A-1= A2 A3 A None of above
28 For a square matrix A, if A = At, then A is called Matrix Transpose Symmetric Non-symmetric
29 If A = |aij| is (m x n) matrix then transpose of A is of the order m x m m x n n x n n x m
30 We solve the system of non-homogeneous linear equations by a and b b and c c and a a,b and c
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