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Quick guide

What This Calculator Does

This matrix calculator handles six standard operations on small numeric square matrices: A+B, A-B, A×B, transpose Aᵀ, determinant det(A), and inverse A⁻¹. It supports 2x2 and 3x3 sizes, accepts rows as text, and recalculates the result as valid input changes.

It is designed for introductory linear algebra, classroom exercises, homework checks, and hand-calculation review. It is not a symbolic algebra system: it does not handle variables, fraction objects, complex numbers, higher dimensions, RREF, eigenvalues, rank, norms, or matrix equations.

When to Use It

  • Check addition, subtraction, or multiplication of two 2x2 or 3x3 matrices.
  • Find a transpose or determinant of a square matrix.
  • Test whether a small square matrix is invertible and calculate its inverse.
  • Paste row-oriented numeric text and compare the result with hand work.

For Ax=b or larger systems, see the equation solver and dedicated linear-algebra tools. For symbolic numeric expressions, use the mathematical expression calculator.

Inputs Explained

Operation

The page offers six operations:

  • Addition: add corresponding entries; A and B must have the same size.
  • Subtraction: subtract corresponding entries; A and B must have the same size.
  • Multiplication: take row-by-column dot products; the page uses two same-size square matrices.
  • Determinant: return one scalar from matrix A.
  • Inverse: find A⁻¹ such that A×A⁻¹=I, using A only.
  • Transpose: swap rows and columns of A.
Read the full guide

Frequently Asked Questions

Which sizes and operations does the current page support?

It supports 2x2 and 3x3 numeric square matrices and six operations: addition, subtraction, multiplication, transpose, determinant, and inverse.

Which operations need two matrices?

Addition, subtraction, and multiplication use A and B; transpose, determinant, and inverse use only A.

How should I enter matrix text?

Put one row on each line, separate values with spaces or commas, and make the row and column counts match the selected size.

Why can inverse fail?

When the determinant is near zero, the page treats the matrix as singular and does not return an inverse.

Does it support fractions, variables, or larger matrices?

No. The parser accepts ordinary integer and decimal text only, and the page is fixed to 2x2 and 3x3 numeric square matrices.

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Matrix Calculator

Enter ordinary numeric rows to add, subtract, multiply, transpose, find determinants, or invert 2x2 and 3x3 square matrices.

Matrix Input

Matrix Input

Use spaces or commas between ordinary numbers, one row per line; do not include brackets, variables, or units.