Matrices and Linear Algebra
===========================

.. toctree::
   :hidden:

   MatrixConstruction/index-matrix-construction
   MatrixArithmetic/index-matrix-arithmetic
   Decompositions/index-decompositions
   LinearSystems/index-linear-systems
   VectorSpaces/index-vector-spaces

.. grid:: 1 2 3 3
   :gutter: 3
   :class-container: index-topic-grid

   .. grid-item-card:: Matrix Construction
      :link: MatrixConstruction/index-matrix-construction
      :link-type: doc

      Creating matrices over rings and fields.

   .. grid-item-card:: Matrix Arithmetic
      :link: MatrixArithmetic/index-matrix-arithmetic
      :link-type: doc

      Addition, multiplication, inversion and determinant.

   .. grid-item-card:: Decompositions
      :link: Decompositions/index-decompositions
      :link-type: doc

      LU, Cholesky, Smith normal form and other decompositions.

   .. grid-item-card:: Linear Systems
      :link: LinearSystems/index-linear-systems
      :link-type: doc

      Solving Ax = b, null spaces and row reduction.

   .. grid-item-card:: Vector Spaces
      :link: VectorSpaces/index-vector-spaces
      :link-type: doc

      Bases, subspaces, quotients and inner products.