Linear Algebra
Matrices
A matrix is a rectangular array of numbers used to represent linear transformations and systems.
Key Formulas
Multiplication
Row by column multiplication.
Key Concepts
Matrix operationsTransposeInverseRank
Worked Examples
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Vectors
A vector has both magnitude and direction. Vectors are fundamental in physics and linear algebra.
Determinants
The determinant is a scalar value computed from a square matrix that reveals properties of the matrix.
Eigenvalues and Eigenvectors
An eigenvector of a matrix is a vector that only scales when the matrix is applied. The scaling factor is the eigenvalue.