Matrix Calculator

Add, multiply, transpose and invert matrices, with determinant, rank and row-reduced form.

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Matrix A3 × 3

Whole numbers, decimals or fractions like 3/4. Arrow keys move between cells; pasting a row or a block of numbers fills in from that cell.

Whole numbers, decimals or fractions like 3/4. Arrow keys move between cells; pasting a row or a block of numbers fills in from that cell.

AB

Show decimals

det(A) = 4, which isn’t 0, so the inverse exists. Check: A × A⁻¹ = I.

Row operations on [A | I] (8)

Show the matrix after each step

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Mean, median, mode, standard deviation, quartiles and outliers from a list of numbers, with a histogram.

After step 5
	Column 1	Column 2	Column 3	Column 4	Column 5	Column 6
Row 1	1	0	−1/3	2/3	1/3	0
Row 2	0	1	−2/3	1/3	2/3	0
Row 3	0	0	4/3	1/3	2/3	1

After step 5
	Column 1	Column 2	Column 3	Column 4	Column 5	Column 6
Row 1	1	0	−1/3	2/3	1/3	0
Row 2	0	1	−2/3	1/3	2/3	0
Row 3	0	0	4/3	1/3	2/3	1