Matrix Rank Calculator

Compute the rank of a 3x3 matrix using a row reduction style approach. Rank measures linear independence.

Enter Values

a11

a12

a13

a21

a22

a23

a31

a32

a33

Enter values above and click Calculate to see your result.

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Rank = number of pivots after elimination

The calculator performs a simplified elimination pass to count pivot columns and determine rank.

Enter a 3x3 matrix. The calculator returns rank 1, 2, or 3.

Rank is the number of linearly independent rows or columns. It tells you how much independent information the matrix contains.

Full rank means rank 3.

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I can help you understand the matrix rank calculator formula, interpret your results, and answer follow-up questions.

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