Find Rank for 2 × 2 Matrix

Find rank with floating-point tolerance wey depend on determinant products.

Your numbers

Rank from the numerical check

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Floating-point matrices wey nearly singular fit give ambiguous numerical result. Exact symbolic rank no dey within this tool scope.

Formula

Rank na 2 if di determinant no be zero by numerical check, rank na 1 for nonzero singular matrix, otherwise na 0.

Find rank with floating-point tolerance wey depend on determinant products.

Example wey show the calculation

Entry for row 1, column 1: 1
Entry for row 1, column 2: 2
Entry for row 2, column 1: 3
Entry for row 2, column 2: 4

Rank from the numerical check: 2
Determinant value: -2

Where e fit work and limits

Floating-point matrices wey nearly singular fit give ambiguous numerical result. Exact symbolic rank no dey within this tool scope.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: 9b827766aae3 · Example don get check: 2026-10-30

Method