Question

How to take the determinant of a 3x3 matrix.

A) Cross-multiply and subtract
B) Sum of the products of diagonals
C) Multiply each element
D) Add the product of opposite corners

Answer 1

To take the determinant of a 3x3 matrix, you can use the sum of the products of diagonals method. Here are the steps...

Step-by-step explanation:

To take the determinant of a 3x3 matrix, you can use the sum of the products of diagonals method. Here are the steps:

1. Multiply the top left element of the matrix by the determinant of the 2x2 matrix formed by the bottom right elements.
2. Subtract the result from step 1 from the determinant of the 2x2 matrix formed by the top right and bottom left elements, multiplied by the top left element of the matrix.
3. Finally, add the result from step 1 and step 2 to the determinant of the 2x2 matrix formed by the top left and bottom right elements, multiplied by the bottom right element of the matrix.