4
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Determinants

Question 4 • Precalculus

Step 1: What is the first step?

Answer
A
Add the values in each row and each column.
B
Find the largest element in the matrix.
C
Augment the matrix by copying columns 1 and 2 to the right of the matrix.
D
Subtract the product along the minor diagonal from the product along the major diagonal.

Explanation

For a 3 × 3 determinant using Sarrus’s rule, first copy the first two columns to the right of the matrix. Then you can identify and multiply the diagonals before subtracting the minor-diagonal products from the major-diagonal products. So the first step is to augment the matrix by copying columns 1 and 2.

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