Question 8 • Advanced Algebra: Concepts and Connections
Which expression represents the determinant of cap A is equal to the 2 by 2 matrix, row 1, column 1, negative 6 column 2, negative 7 row 2, column 1, negative 4 column 2, negative 2 ?
Answer
A
det times cap A is equal to negative 4 times negative 7 plus negative 6 times negative 2
B
det times cap A is equal to negative 6 times negative 2 plus negative 4 times negative 7
C
det times cap A is equal to negative 6 times negative 2 minus negative 4 times negative 7
D
det times cap A is equal to negative 4 times negative 7 minus negative 6 times negative 2
Explanation
For a 2 by 2 matrix [[a, b], [c, d]], the determinant is ad − bc. Here, that is (−6)(−2) − (−7)(−4), or (−6)(−2) − (−4)(−7). This matches choice C.
AI-written and checked against the verified answer.