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Determinants
2×2 by ad − bc, larger by cofactor expansion — and what the number means.
The determinant of a matrix is the factor by which it scales area (2×2) or volume (3×3), with a sign for orientation. A zero determinant means the matrix squashes space flat and cannot be inverted. The 3D view draws the column vectors and the box they span.
പ്രവര്ത്തിപ്പിച്ച ഉദാഹരണം: det [[1,2],[3,4]]
പടിയിലൂടെ
- \det\left[\begin{matrix}1 & 2\\3 & 4\end{matrix}\right]
Determinant of a 2×2 matrix.
- = (1)(4) - (2)(3)
For 2×2: ad − bc.
- \det A = -2
Result.
ഉത്തരം വെളിപ്പെടുത്തുക
\det A = -2
നീ സ്വയം ശ്രമിക്ക്.
കൂടുതല് Linear Algebra
Matrix inverseEigenvalues and eigenvectorsMatrix multiplicationRow reduction