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Class 12 Maths Practice Test - Minors and Cofactors
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Class 12 Maths Practice Test - Minors and Cofactors
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10 Questions

1. 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.
2. Find the cofactor of element -3 in the determinant Δ=\(\begin{vmatrix}1&4&4\\-3&5&9\\2&1&2\end{vmatrix}\).
3. Find the minor and cofactor respectively for the element 3 in the determinant Δ=\(\begin{vmatrix}1&5\\3&6\end{vmatrix}\).
4. Find the minor of the element 1 in the determinant Δ=\(\begin{vmatrix}1&5\\3&8\end{vmatrix}\).
5. 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.
6. Find the minor of the element 1 in the determinant Δ=\(\begin{vmatrix}1&5\\3&8\end{vmatrix}\).
7. Find the minor of the element 2 in the determinant Δ=\(\begin{vmatrix}1&9\\2&3\end{vmatrix}\)?
8. Which of the following is the formula for cofactor of an element aij ?
9. Find the minor of the element 2 in the determinant Δ=\(\begin{vmatrix}1&9\\2&3\end{vmatrix}\)?
10. 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?

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