Finding the Determinant of a 3x3 Matrix

The video tutorial explains how to find the determinant of a 3x3 matrix. It begins with an introduction and the source of the question. The instructor then guides through the process of calculating the determinant by first multiplying downward from the upper-left corner and then upward from the lower-left corner. The final step involves combining these results to find the determinant, which is calculated to be -25.

What is the first step in finding the determinant of a 3x3 matrix?

• Transpose the matrix

• Copy the first two rows

• Add all elements together

• Multiply all elements together

When multiplying elements downward, what is the result of 3 times 2 times -3?

• 18

• -18

• -6

• 6

What is the result of multiplying 1, 5, and 0 in the downward direction?

• 5

• 0

• 15

• 10

In the upward multiplication, what is the result of 1 times 5 times 3?

• 5

• 3

• 10

• 15

What is the final determinant of the matrix after all calculations?

• 25

• -37

• 37

• -25