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Matrices & linear algebra

Use an explicit matrix when you want matrix multiplication, inverse or determinant. Ordinary nested lists retain list behavior.

Find it

Expressions

An explicit matrix, its square and inverse rendered mathematically.
An explicit matrix, its square and inverse rendered mathematically.Click to enlarge ↗

Try it step by step

  1. Wrap a rectangular list of rows in matrix(...).
  2. Multiply compatible matrices with * or matmul.
  3. Use an inverse only for a square, nonsingular matrix.
  4. Inspect the typeset result and any dimension or singularity message.

Examples to try

Each card is one input. For definitions, enter the cards in order. Formula-only cards belong in the tool described above.

Construct a 2×2 matrix.

Matrix multiplication.

The inverse of this nonsingular matrix.

Options explained

matrix
Creates an explicit real or complex matrix with up to 16 rows and 16 columns.
Multiplication / powers
Matrix multiplication requires matching inner dimensions. Integer powers of square matrices use matrix products.
Inverse / negative powers
and use a matrix inverse for explicit matrices; a singular matrix has no inverse.
Determinant / elimination
Supported determinant and elimination operations help solve linear-algebra problems.
Nested-list distinction
[[1,2],[3,4]] is a list of lists until you explicitly construct a matrix. List arithmetic can be element-wise.
Lists, points & curve familiesSolve equations & systemsMathematical function reference

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