ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1
2 A -A A<sup>t</sup> A<sup>-</sup>
3 A<sup>-</sup> A<sup>t</sup> -A A
4 The square matrix A is skew-symmetric when At= -B -C -A -D
5 A square matrix A = [aij] is upper triangular when cij = 0 bij = 0 aij = 0 for all i &gt; j dij = 0
6 A square matrix A = [aij] is lower triangular matrix when: aij = 0 for all i &lt; j bij = 0 cij = 0 dij =0
7 Singular Non-singular Adjoint None of above
8 Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for BA A<sup>2</sup> AB B<sup>2</sup>
9
10 a = -1/2, b = -1 a = 1, b = 2 a = 2, b = 3 None of above
11 x =0, y =4 x = -1, y = 2 x = 2, y = 3 x = 3, y = 4
12
13 A and B be two square matrices and if their inverse exist, the (AB)-1= A<sup>-1</sup>B<sup>-1</sup> AB<sup>-1</sup> A<sup>-1</sup>B B<sup>-1</sup>A<sup>-1</sup>
14 I 14 I 0 None of these
15 If A and B are two matrices such that AB = B and BA =A, then A2+ B2= 2 AB 2 BA A + B AB
16
17 3, -3, 11 3, 3, 11 -3, 3, -11 -3, -3, 11
18
19 a<sup>2</sup>b<sup>2</sup>c<sup>2</sup> 4a<sup>2</sup>b<sup>2</sup>c<sup>2</sup> 4abc None
20
21 1 -1 0 I
22 Let A be a square matrix. Then, 1/2 (A-A') is Skew-symmetric Symmetric Null None of the above
23 If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is Skew-symmetric Symmetric Null Diagonal
24 (ABC)' = CBA' CBA C' B' A' None of these
25 1 0 -1 2
26 1 0 3 -1
27 -3 -7 1 0
28 A<sup>2</sup>- 5A + 7I = 1 2A<sup>2</sup>- 3A + 7I = 0 A<sup>2</sup>- 5A + I = 0 A<sup>2</sup>- 5A + 7I = 0
29
30
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