Linear algebra is concerned with vector spaces of all dimensions and linear transformations between them, including systems of linear equations, bases, dimensions, subspaces, matrices, determinants, traces, eigenvalues and eigenvectors, diagonalization, Jordan forms, etc. For questions specifically concerning matrices, use the (matrices) tag. For questions specifically concerning matrix equations, use the (matrix-equations) tag.

Linear algebra is concerned with vector spaces of all dimensions and linear transformations between them (e.g. $(x_1, \dots, x_n)\mapsto a_1x_1 + \dots + a_nx_n$). Concepts include systems of linear equations, bases, dimensions, subspaces, matrices, determinants, kernels, null spaces, column spaces, traces, eigenvalues and eigenvectors, diagonalization, Jordan normal forms, and so forth.

This is a general tag, and most of the subjects included in its scope also have secondary tags (e.g. , , , , , etc.). Please consider using the appropriate secondary tags as they are applicable.

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