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Determinant

★★★☆☆High School

📖Definition

A scalar value for square matrices, indicating invertibility and volume scaling of linear transformations.

det(A) = |A| = ad - bc (2 × 2)

Determinant of 2×2 matrix

det(A) = ∑_j=1ⁿ (-1)^1+j a_1j M_1j

Cofactor expansion (n×n)

예제 1★★☆☆☆

Find det(A) for A = [[3, 1], [2, 4]].

예제 2★★☆☆☆

What does det(A) = 0 imply?

Invertibility test

Area/volume scaling

#linear-algebra#matrix#determinant