Determinant 3 x 3 Matrix Worksheet

Lesson 1

If   A=

Then its determinant is given by:

a₁₁a₂₂a₃₃  +  a₁₂a₂₃a₃₁  +  a₁₃a₃₂a₂₁  -  a₁₁a₂₃aa₃₂  -  a₂₂a₁₃a₃₁  -  a₁₂a₂₁a₃₃

Problem:                   Calculate the determinant of each matrix.

Step 1: Expand along the first row

2 (4 - 1) - 1(0 + 0) + 0

Step 2: = 2 x 3 - 0 + 0

Step 3: = 6

Step 4:

The answer is:  6

Try two practice problems: Calculate the determinant of each matrix.

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