| 1. |
Suppose there is a Set S, which is the largest possible subset of S |
| A. | s1 |
| B. | s |
| C. | ∅ |
| D. | none of these |
| Answer» B. s | |
| 2. |
Suppose there is a set S, which is the smallest possible subset of S |
| A. | s1 |
| B. | s |
| C. | ∅ |
| D. | none of these |
| Answer» C. ∅ | |
| 3. |
If a set has n elements, the total number of subsets will be |
| A. | 2n |
| B. | 2n |
| C. | 2/n |
| D. | none of these |
| Answer» A. 2n | |
| 4. |
If a set S1 has n elements and S2 has m elements, how many ordered pairs can form in general? |
| A. | m x n |
| B. | m + n |
| C. | m/n |
| D. | none of these: |
| Answer» A. m x n | |
| 5. |
2 24.……………. is known as a signed minor |
| A. | rank |
| B. | cofactor |
| C. | inverse |
| D. | none |
| Answer» C. inverse | |
| 6. |
A set which contains only one element is called |
| A. | singleton set |
| B. | finite set |
| C. | proper set |
| D. | none of these |
| Answer» A. singleton set | |
| 7. |
If all the sets under consideration are subsets of a fixed set say ∪, then this set ∪ is called |
| A. | universal set |
| B. | power set |
| C. | disjoint set |
| D. | finite set |
| Answer» A. universal set | |
| 8. |
Two sets A and B are said to be …………………. sets if no element of A is in B and no element of B is in A. |
| A. | universal |
| B. | disjoint |
| C. | equivalent |
| D. | none of these |
| Answer» B. disjoint | |
| 9. |
A matrix with equal number of rows and columns is called: |
| A. | row matrix |
| B. | column matrix |
| C. | square matrix |
| D. | none |
| Answer» C. square matrix | |
| 10. |
A square matrix in which all elements except those in diagonal are zero are called: |
| A. | diagonal matrix |
| B. | identity matrix |
| C. | null matrix |
| D. | none |
| Answer» A. diagonal matrix | |
| 11. |
A diagonal matrix with all its diagonal elements equal to 1 is known as: |
| A. | triangular matrix |
| B. | zero matrix |
| C. | identity matrix |
| D. | none |
| Answer» C. identity matrix | |
| 12. |
A matrix in which every element is zero is called |
| A. | scalar matrix |
| B. | null matrix |
| C. | square matrix |
| D. | inverse matrix |
| Answer» B. null matrix | |
| 13. |
Matrix obtained by inter changing the rows and columns is called ………… of a matrix |
| A. | inverse |
| B. | transpose |
| C. | negative |
| D. | none |
| Answer» B. transpose | |
| 14. |
The matrix A is idempotent if: |
| A. | a2 = a |
| B. | a = at |
| C. | a2 = at |
| D. | none |
| Answer» A. a2 = a | |
| 15. |
If A and B are square matrices such that AB = BA, then A and B are called………….. |
| A. | additive |
| B. | multiplicative |
| C. | divisive |
| D. | commutative |
| Answer» D. commutative | |
| 16. |
If =1 23 −4 =0 −67 8, then A+B is equal to |
| A. | 1 −410 4 |
| B. | 7 9 −3 −4 |
| C. | 3 −36 7 |
| D. | none |
| Answer» A. 1 −410 4 | |
| 17. |
If = [1 0 6] = [5 4 3], A+B is: |
| A. | [19] |
| B. | [6 0 9] |
| C. | [6 4 9] |
| D. | none |
| Answer» C. [6 4 9] | |
| 18. |
If A is a 3 × 2 matrix, B is a 2 × 3 matrix, C is a 2 × 2 matrix and D is a 3 × 3 matrix, then which of the following products does not exist? |
| A. | ab |
| B. | ac |
| C. | bd |
| D. | cd |
| Answer» D. cd | |
| 19. |
The determinant of matrix =4 6 3 8 is: |
| A. | 14 |
| B. | 7 |
| C. | -1 |
| D. | 3 |
| Answer» A. 14 | |
| 20. |
If all the elements of any row or column are zero, the determinant is zero. |
| A. | unity |
| B. | positive |
| C. | negative |
| D. | zero |
| Answer» D. zero | |
| 21. |
The determinant that results when the row and column in which that element lies are deleted is called: |
| A. | cofactor |
| B. | minor |
| C. | inverse |
| D. | none |
| Answer» B. minor | |
| 22. |
An adjoint matrix is the ……………… of the cofactor matrix. |
| A. | inverse |
| B. | minor |
| C. | cofactor |
| D. | transpose |
| Answer» B. minor | |
| 23. |
Inverse of A is denoted as |
| A. | a−1 |
| B. | at |
| C. | at |
| D. | ai |
| Answer» A. a−1 | |
| 24. |
If the rows and columns of a determinant are interchanged, its value will: |
| A. | change |
| B. | change sign |
| C. | not change |
| D. | become zero |
| Answer» C. not change | |
| 25. |
If a set consists of a specific number of different elements, it is called |
| A. | infinite set |
| B. | finite set |
| C. | unit set |
| D. | null set |
| Answer» B. finite set | |
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