5. Inverses and Determinants

Cofactor Expansion — Quiz

Test your understanding of cofactor expansion with 5 practice questions.

Practice Questions

Question 1

Which formula gives the cofactor $C_{ij}$ of an entry $a_{ij}$?

Question 2

What is the sign of the cofactor at position $(2,3)$ in a matrix?

Question 3

In cofactor expansion, a determinant of a square matrix can be expanded along which of the following?

Question 4

Find $\det\begin{bmatrix}5&0\\2&3\end{bmatrix}$ using cofactor expansion along the first row.

Question 5

For the matrix $A=\begin{bmatrix}1&2&3\\4&5&6\\7&8&9\end{bmatrix}$, what is the minor $M_{13}$?