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This section includes 6 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 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. |
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 | |
4. |
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 | |
5. |
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 | |
6. |
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 | |