MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For which of the following element in the determinant = ( begin{vmatrix}5&-5&8 6&2&-1 5&-6&8 end{vmatrix} ) , the minor and the cofactor both are zero. |
| A. | -5 |
| B. | 2 |
| C. | -6 |
| D. | 8 |
| Answer» C. -6 | |
| 2. |
For which of the following elements in the determinant = ( begin{vmatrix}2&8 4&7 end{vmatrix} ), the minor of the element is 2? |
| A. | 2 |
| B. | 7 |
| C. | 4 |
| D. | 8 |
| Answer» C. 4 | |
| 3. |
For which of the elements in the determinant = ( begin{vmatrix}1&8&-6 2&-3&4 -7&9&5 end{vmatrix} ) the cofactor is -37. |
| A. | 4 |
| B. | 1 |
| C. | -6 |
| D. | -3 |
| Answer» E. | |
| 4. |
Find the minor of the element 2 in the determinant = ( begin{vmatrix}1&9 2&3 end{vmatrix} )? |
| A. | 3 |
| B. | 9 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 5. |
If = ( begin{vmatrix}a_{11}&a_{12}&a_{13} a_{21}&a_{22}&a_{23} a_{31}&a_{32}&a_{33} end{vmatrix} ), then the determinant in terms of cofactors Aij can be expressed as a11 A11+a21 A21+a31 A31. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 6. |
Find the cofactor of element -3 in the determinant = ( begin{vmatrix}1&4&4 -3&5&9 2&1&2 end{vmatrix} ). |
| A. | -4 |
| B. | 4 |
| C. | -5 |
| D. | -3 |
| Answer» B. 4 | |
| 7. |
Find the minor of the element 1 in the determinant = ( begin{vmatrix}1&5 3&8 end{vmatrix} ). |
| A. | 5 |
| B. | 1 |
| C. | 8 |
| D. | 3 |
| Answer» D. 3 | |
| 8. |
Find the minor and cofactor respectively for the element 3 in the determinant = ( begin{vmatrix}1&5 3&6 end{vmatrix} ). |
| A. | M<sub>21</sub>=-5, A<sub>21</sub>=-5 |
| B. | M<sub>21</sub>=5, A<sub>21</sub>=-5 |
| C. | M<sub>21</sub>=-5, A<sub>21</sub>=5 |
| D. | M<sub>21</sub>=5, A<sub>21</sub>=5 |
| Answer» C. M<sub>21</sub>=-5, A<sub>21</sub>=5 | |
| 9. |
What is the minor of the element 5 in the determinant = ( begin{vmatrix}1&5&4 2&3&6 7&9&4 end{vmatrix} )? |
| A. | -34 |
| B. | 34 |
| C. | -17 |
| D. | 21 |
| Answer» B. 34 | |
| 10. |
Which of the following is the formula for cofactor of an element aij ? |
| A. | A<sub>ij</sub>=(1)<sup>i+j</sup> M<sub>ij</sub> |
| B. | A<sub>ij</sub>=(-2)<sup>i+j</sup> M<sub>ij</sub> |
| C. | A<sub>ij</sub>=(-1)<sup>i+j</sup> M<sub>ij</sub> |
| D. | A<sub>ij</sub>=(-1)<sup>i-j</sup> M<sub>ij</sub> |
| Answer» D. A<sub>ij</sub>=(-1)<sup>i-j</sup> M<sub>ij</sub> | |