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Problem 9 - Entrance Test
What is the value of the determinant of the following matrix? [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
A. -3
B. -1
C. 0
D. 1
E. 3
Check Answer
Show Solution
Correct: C
The determinant is 1(5*9 - 6*8) - 2(4*9 - 6*7) + 3(4*8 - 5*7) = 1(45 - 48) - 2(36 - 42) + 3(32 - 35) = -3 - 2(-6) + 3(-3) = -3 + 12 - 9 = 0.