Determinant Practice Questions Ques7
Question: If $A$ is a $3 \times 3$ matrix, what is the minor of the element $a_{13}$?
Options:
(A) The determinant of the $2 \times 2$ matrix obtained by deleting the first row and third column of $A$
(B) The determinant of the $2 \times 2$ matrix obtained by deleting the third row and first column of $A$
(C) The determinant of the $2 \times 2$ matrix obtained by deleting the second row and third column of $A$
(D) The determinant of the $2 \times 2$ matrix obtained by deleting the first row and second column of $A$
Show Answer
Answer: A
Explanation:
(A) Correct. The minor of $a_{13}$ is the determinant of the $2 \times 2$ matrix obtained by deleting the first row and third column of $A$.
(B) Incorrect. This would be the minor of $a_{31}$.
(C) Incorrect. This would be the minor of $a_{23}$.
(D) Incorrect. This would be the minor of $a_{12}$.
BETA
