How do you simplify determinants?

Simplification of determinant of a square matrix results in a scalar value.

If A is a matrix, then determinant of A is denoted by |A| or det A. Suppose that A is a 2×2 matrix. Then the determinant of A is given by:

Det A = a₁₁×a₂₂–a₂₁×a₂₁

Where, a₁₁,a₂₂,a₂₁, and a₂₁ are elements of matrix A.

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