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- Definition of weights in a linear combination of vectors#23802
- Description of a basis for the null space of a matrix from the reduced row-echelon form.#23870
- Description of a spanning set for the null space of a matrix from the reduced row-echelon form.#23869
- Description of the Gram-Schmidt process#23935
- Determinants#23714
- Determinants and operations on matrices#23723
- Determinants axiomatically#23732
- Determine if a particular set of vectors in R^3 in linearly independent#23818
- Determine if a particular set of vectors spans R^3#23807
- Determine if a particular vector is in the span of a set of vectors#23808
- Determine if a particular vector is in the span of a set of vectors in R^2#23809
- Determine if a particular vector is in the span of a set of vectors in R^3#23810
- Dimension#23836
- Distinct eigenvalues of a Hermitian matrix have orthogonal eigenvectors.#23712
- Each vector can be written uniquely as a linear combination of vectors from a given basis.#23987
- Echelon matrices#23536
- Eigenspaces#23683
- Eigenvalues and eigenvectors#23680
- Eigenvalues and operations on matrices#23688
- Eigenvectors of a symmetric matrix with different eigenvalues are orthogonal.#23574
- Eigenvectors with distinct eigenvalues are linearly independent.#23694
- Elementary matrices#23556
- Elementary matrices are invertible/nonsingular.#23560
- Equation operations on a linear system give an equivalent system.#23425
- Equivalence theorem for injective linear transformations: The columns of the matrix of T are linearly independent.#24086
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