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- Proof of several equivalences for nonsingular matrix#23644
- QR decomposition#23630
- Rank and mullity#23672
- Rank and nullity#23882
- Removing a linearly dependent vector from a set does not change the span of the set.#23982
- R^n is a vector space.#24097
- Row equivalence is an equivalence relation#23480
- Row equivalent matrices have the same row space.#23881
- Row equivalent matrices represent equivalent linear systems#23769
- Row operations#23474
- Row operations are given by multiplication by elementary matrices.#23559
- Row operations do not necessarily preserve the column space.#23878
- Scalar multiplication#23470
- Similarity of matrices#23634
- Similarity of matrices in an equivalence relation.#23636
- Similar matrices have the same eigenvalues and the same characteristic polynomials.#23638
- 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