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Hermitian matrices have real eigenvalues.
Homogeneous linear systems are consistent.
If A and B are n-by-n matrices
If A is a matrix
If a matrix has both a left and a right inverse
If a set of vectors contains the 0 vector
If a set of vectors in R^n (or C^n) contains more than n elements
If a space is the direct sum of invariant subspaces
If a square matrix has a one-sided inverse
If a vector space has dimension n
If B is a basis containing b and the b coordinate of c is nonzero
If the product of a vector and a scalar is 0
If two finite dimensional subspaces have the same dimension and one is contained in the other
If two matrices have equal products with all vectors
Inner products
Inner products in coordinate spaces
Inverse
Isomorphic vector spaces have the same dimension.
Isomorphism
Least squares
Linear algebra
Linear combinations
Linear (in)dependence
Linear systems and echelon matrices
Linear systems and matrices

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