What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]?
Question
What is the determinant of a 2x2 matrix A = [[a, b], [c, d]]?
Solution
The determinant of a 2x2 matrix A = [[a, b], [c, d]] is calculated as follows:
Step 1: Multiply the elements of the main diagonal (from top left to bottom right), i.e., a and d. The result is ad.
Step 2: Multiply the elements of the other diagonal (from top right to bottom left), i.e., b and c. The result is bc.
Step 3: Subtract the result of Step 2 from the result of Step 1.
So, the determinant of A is ad - bc.
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