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What is the determinant of B? A. −27 B. −30 C. 30 D. –6

User Nsof
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2 Answers

3 votes

Answer:

Explanation:

User Mahbaleshwar Hegde
by
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4 votes

Answer:

Answer B: -30

Explanation:

Let B be as follows:

[-18 3]

[4 1 ]


To find the determinant, multiply diagonally downward from -18 through 1, obtaining -18. We keep this sign as is.

Continue: Start at 4 and move diagonally upward through 3; this product is 12. Because we moved upward, give this result the opposite sign: -12.

Now add together these two products; that is, add together -18 and -12. Here the sum is -30. This is the determinant of the matrix. It's Answer B.

Finding the determinant of a 3x3 matrix obviously requires more steps, but the general approach is similar.

User Updater
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