11th Class FA Mathematics Chapter 3 Online Test With Answers

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11th Class FA Mathematics Chapter 3 Online Test

Sr. # Questions Answers Choice
1 25 20 40 2a + 2b + 2c
2 If A is a square matrix order 3 × 3 the |kA| equals: k |A| k<sup>2</sup>|A| k<sup>3</sup> |A| k<sup>4</sup> |A|
3 If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the resulting matrix is: |A|<sup>3</sup> 27|A| 3|A| 9|A|
4 For a square matrix A, |A| equals: A<sup>t</sup> |A<sup>t</sup>| -|A<sup>t</sup>| -A<sup>t</sup>
5 If A = [aij], B = [bij] and AB = 0 then: A = 0 B = 0 either A = 0 or B = 0 A &amp; B not necessarily zero
6 If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is: r - s r × s r + s none of these
7 The trivial solution of the homogeneous linear equations is: (1, 0, 0) (0, 1, 0) (0, 0, 1) (0, 0, 0)
8 If a matrix A is symmetric as well as skew symmetric, then: A is null matrix A is unit matrix A is triangular matrix A is diagonal matrix
9 scalar matrix diagonalmatrix triangularmatrix none of these
10 scalarmatrix diagonalmatrix lower triangularmatrix uppertriangularmatrix
11 scalar matrix diagonalmatrix lower triangularmatrix upper triangularmatrix
12 If A is a square matrix, then: |A<sup>t</sup>| = A |A<sup>t</sup>| = -A |A<sup>t</sup>| = |A| A<sup>t</sup>= A
13 If any two rows of a square matrix are interchanged, the determinant of the resulting matrix: is zero is multiplicative inverse of the determinant of the original matrix is additive inverse of the determinant the original matrix none of these
14 If each element in any row or each element in any column of a square matrix is zero, then value of the determinant is: 0 1 -1 none of these
15 9 -9 -6 none
16 3 -3 1/3 -1/3
17 If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is: 0 1 -1 ±1
18 5 14 20 6
19 2 -2 5 -5
20 40 -40 26 -26
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