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551–575 of 718 nodes
- Spans#23804
- Subspaces#23811
- Subspaces associated to a linear transformation#24055
- Subspaces associated to a matrix#23872
- Switching two rows multiplies the determinant by -1.#23738
- Symmetric matrices#23571
- Symmetric matrices are square.#23573
- Terminology#23754
- The 0 scalar multiplied by any vector equals the 0 vector.#23960
- The 0 vector is unique.#23958
- The 0 vector multiplied by any scalar equals the 0 vector.#23961
- The additive inverse of a vector equals the vector multiplied by -1.#23963
- The additive inverse of a vector is called the negative of the vector.#23956
- The additive inverse of a vector is unique.#23959
- The adjoint of a matrix-scalar product is the product of the adjoint and the conjugate.#23508
- The adjoint of a product of matrices is the product of the adjoints in reverse order.#23513
- The adjoint of a sum is the sum of the adjoints.#23507
- The Cauchy-Schwarz inequality#24092
- The Cauchy–Schwarz inequality#23913
- The Cayley-Hamilton theorem for a linear transformation#24046
- The Cayley-Hamilton theorem for a matrix.#23707
- The change of coordinates matrix between two bases exists and is unique#23996
- The characteristic polynomial applied to the matrix gives the 0 matrix.#23706
- The column space of a matrix is a vector space#24109
- The column space of an m-by-n matrix is a subspace of R^m (or C^m)#23876