Matrix Rank

Calculate Matrix Rank instantly with the exact formula and a worked example.

Matrix Rank

a11
a12
a13
a21
a22
a23
a31
a32
a33
Rank
2
Calculate Matrix Rank instantly with the exact formula and a worked example.
det A
0
Matrix
Singular

More about: Matrix Rank

What it calculates

The “Matrix Rank” calculator computes Rank from 9 parameters: a11, a12, a13, a21, a22, a23, a31, a32, a33.

A core calculation for studying, engineering tasks, and checking solutions.

Example calculation

With parameters a11 = 1, a12 = 2, a13 = 3, a21 = 4, a22 = 5, a23 = 6, a31 = 7, a32 = 8, a33 = 9 the result is 2.

How to use

  1. Enter a11, a12, a13, a21, a22, a23, a31, a32 and a33 — each field above is adjustable with a slider.
  2. Rank is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

How is Matrix Rank calculated?
The Matrix Rank calculator computes Rank from a11, a12, a13, a21, a22, a23, a31, a32, a33. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Matrix Rank calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.

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