Flashcards

Determinants

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Question

What is the formula for the determinant of a 2×22 \times 2 matrix A=[ab cd]A = \begin{bmatrix} a & b \ c & d \end{bmatrix}?

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Answer

The determinant of a 2×22 \times 2 matrix is given by: ∣A∣=∣ab cd∣=ad−bc|A| = \left|\begin{array}{ll}a & b \ c & d\end{array}\right| = ad - bc This value is a unique number associated with the square matrix.

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