MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For which of the following element in the determinant Δ=\(\begin{vmatrix}5&-5&8\\6&2&-1\\5&-6&8\end{vmatrix}\) , 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 Δ=\(\begin{vmatrix}2&8\\4&7\end{vmatrix}\), 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 Δ=\(\begin{vmatrix}1&8&-6\\2&-3&4\\-7&9&5\end{vmatrix}\) 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 Δ=\(\begin{vmatrix}1&9\\2&3\end{vmatrix}\)? |
| A. | 3 |
| B. | 9 |
| C. | 1 |
| D. | 2 |
| Answer» C. 1 | |
| 5. |
If Δ=\(\begin{vmatrix}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33} \end{vmatrix}\), 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 Δ=\(\begin{vmatrix}1&4&4\\-3&5&9\\2&1&2\end{vmatrix}\). |
| A. | -4 |
| B. | 4 |
| C. | -5 |
| D. | -3 |
| Answer» B. 4 | |
| 7. |
Find the minor of the element 1 in the determinant Δ=\(\begin{vmatrix}1&5\\3&8\end{vmatrix}\). |
| 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 Δ=\(\begin{vmatrix}1&5\\3&6\end{vmatrix}\). |
| A. | M21=-5, A21=-5 |
| B. | M21=5, A21=-5 |
| C. | M21=-5, A21=5 |
| D. | M21=5, A21=5 |
| Answer» C. M21=-5, A21=5 | |
| 9. |
What is the minor of the element 5 in the determinant Δ=\(\begin{vmatrix}1&5&4\\2&3&6\\7&9&4\end{vmatrix}\)? |
| 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. | Aij=(1)i+j Mij |
| B. | Aij=(-2)i+j Mij |
| C. | Aij=(-1)i+j Mij |
| D. | Aij=(-1)i-j Mij |
| Answer» D. Aij=(-1)i-j Mij | |