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Matrix inverter

World's simplest math tool

Free online matrix inverter. Just enter your matrix on the left and you'll automatically get an inverted matrix on the right. There are no ads, popups or nonsense – just a matrix inverter. Created by mathematicians for mathematicians.
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Input Matrix Options
Input matrix element separator. (Space by default.)
Input matrix row separator. (Newline by default.)
Inverted Matrix Options
Inverted matrix element separator. (Space by default.)
Inverted matrix row separator. (Newline by default.)
Make all matrix columns align.
Inverse Matrix Precision
How many digits after the decimal point. (Five by default.)
Automatically adjust precision of all inverse matrix elements.
Matrix inverter tool What is a matrix inverter?
This tool inverts matrices. One matrix is an inverse of another matrix if their product is the identity matrix. Matrices whose determinant is zero don't have an inverse. With this tool you can find an inverse matrix of any size, with the accuracy you want. You can set the separator between matrix elements and between rows for input and output matrices, and you can select Prettify Matrix option for nice formatting. Mathabulous!
Matrix inverter examples Click to use
Inverse a 3x3 Matrix
This example finds the inverse of a 3x3 matrix. It also aligns the columns nicely so it's beautifuly formatted.
5 3 9 4 1 6 1 3 4
14 -15 -9 10 -11 -6 -11 12 7
Required options
These options will be used automatically if you select this example.
Input matrix element separator. (Space by default.)
Input matrix row separator. (Newline by default.)
Inverted matrix element separator. (Space by default.)
Inverted matrix row separator. (Newline by default.)
Make all matrix columns align.
Invert Matrix with Custom Accuracy
This example calculates the inverse matrix with precision of 7 digits after the decimal point.
100 200 5 40 5000 6 50 700 10
0.0132754 0.0004348 -0.0068986 -0.000029 0.0002174 -0.0001159 -0.0643478 -0.0173913 0.1426087
Required options
These options will be used automatically if you select this example.
Input matrix element separator. (Space by default.)
Input matrix row separator. (Newline by default.)
Inverted matrix element separator. (Space by default.)
Inverted matrix row separator. (Newline by default.)
Make all matrix columns align.
How many digits after the decimal point. (Five by default.)
Automatically adjust precision of all inverse matrix elements.
Inverted Matrix With Auto Precision
In this example, the tool itself determines how many values to leave after decimal point, It does so because we turned out auto-accuracy option.
1 2 3 4 7 4 2 5 4 8 9 6 1 5 6 4
0.17 -0.1 0.62 -0.98 -0.87 0.48 -1.1 1.92 0.54 -0.48 1.1 -1.59 0.24 0.14 -0.43 0.48
Required options
These options will be used automatically if you select this example.
Input matrix element separator. (Space by default.)
Input matrix row separator. (Newline by default.)
Inverted matrix element separator. (Space by default.)
Inverted matrix row separator. (Newline by default.)
Make all matrix columns align.
Automatically adjust precision of all inverse matrix elements.
Matrix with Determinant Zero has no Inverse
In this example we use a matrix that has determinant value of 0 (two of its rows are equal). This matrix is singular and doesn't have an inverse matrix.
20 30 40 40 50 60 20 30 40
[error: matrix has determinant of 0 and does not have an inverse]
Required options
These options will be used automatically if you select this example.
Input matrix element separator. (Space by default.)
Input matrix row separator. (Newline by default.)
Inverted matrix element separator. (Space by default.)
Inverted matrix row separator. (Newline by default.)
Pro tips Master online math tools
You can pass input to this tool via ?input query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
https://onlinemathtools.com/invert-matrix?input=5%203%209%0A4%201%206%0A1%203%204&input-element-separator=%20&input-row-separator=%5Cn&output-element-separator=%20&output-row-separator=%5Cn&prettify-matrix=true
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