Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 4A - 3I 3A - 4I A - I None of these
2 A(<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>) - A(<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span>) A(<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>) + A(<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span>) A(<i style="text-align: center;">α</i>-<i style="text-align: center;">β</i>) A(<i style="text-align: center;">α</i>+<i style="text-align: center;">β</i>)
3 6, -12, -18 -6, 4, 9 -6, -4, -9 -6, 12, 18
4 The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is 3 x 3 3 x 2 2 x 5 5 x 2
5 0 1 2 4
6 If the trace of matrix A is 5, then the trace of the matrix 3A is 3/5 5/3 8 15
7 If for the matrix A, A5= I, then A-1= A<sup>2</sup> A<sup>3</sup> A None of above
8 I |A| |A| I None of these
9 For a square matrix A, if A = At, then A is called matrix Transpose Symmetric Non-symmetric
10 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
11 We also the system of non-homogeneous linear equations by a and b b and c c and a a, b and c
12 Trival solution of homogeneous linear equation is (0, 0, 0) (1, 2, 3) (1, 3, 5) a, b and c
13 For non-trival solution |A| is A = 0 A<sup>t</sup>= 0 |A| = 0 None of these
14 For trival solution |A| is A |A| is non zero A = 0 None of these
15 System of linear equations is inconsistent if System has no solution System has one solution System has two solution None of above
16 An equation of the form ax + by = k is homogeneous linear equation when:
17
18 A -A A<sup>t</sup> A<sup>-</sup>
19 A<sup>-</sup> A<sup>t</sup> -A A
20 The square matrix A is skew-symmetric when At= -B -C -A -D
21 A square matrix A = [aij] is upper triangular when cij = 0 bij = 0 aij = 0 for all i &gt; j dij = 0
22 A square matrix A = [aij] is lower triangular matrix when: aij = 0 for all i &lt; j bij = 0 cij = 0 dij =0
23 Singular Non-singular Adjoint None of above
24 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>
25
26 a = -1/2, b = -1 a = 1, b = 2 a = 2, b = 3 None of above
27 x =0, y =4 x = -1, y = 2 x = 2, y = 3 x = 3, y = 4
28
29 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>
30 I 14 I 0 None of these
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