What is the determinant of a 2x2 matrix [[a, b], [c, d]]? (2020)

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Question: What is the determinant of a 2x2 matrix [[a, b], [c, d]]? (2020)

Options:

Correct Answer: ad - bc

Exam Year: 2020

Solution:

The determinant of a 2x2 matrix is calculated as ad - bc.

What is the determinant of a 2x2 matrix [[a, b], [c, d]]? (2020)

What is the determinant of a 2x2 matrix [[a, b], [c, d]]? (2020)

Step 1: Identify the elements of the 2x2 matrix. The matrix is [[a, b], [c, d]], where 'a', 'b', 'c', and 'd' are numbers.
Step 2: Multiply the top left element 'a' by the bottom right element 'd'. This gives you the product 'ad'.
Step 3: Multiply the top right element 'b' by the bottom left element 'c'. This gives you the product 'bc'.
Step 4: Subtract the result from Step 3 (bc) from the result from Step 2 (ad). This means you calculate 'ad - bc'.
Step 5: The result from Step 4 is the determinant of the 2x2 matrix.

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