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Question 2 • Advanced Algebra: Concepts and Connections

What is the determinant of cap k is equal to the 2 by 2 matrix row 1, 6 8 row 2, 0 3 ?

Answer
A
10
B
negative 8
C
18
D
negative 18

Explanation

For a 2 × 2 matrix, the determinant is the product of the main diagonal entries minus the product of the other diagonal entries. Here, 6 × 3 − 8 × 0 = 18, so the determinant is 18.

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