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Matrix Calculator

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Type your math problem...

[4 - 3 52] =

- [39 5 \frac{9}{10} - 0.6 - 9] \div 2.4

About the Matrix Calculator

Free online matrix calculator to solve common linear algebra operations with step-by-step explanations. Enter a matrix and solve instantly:

1. Evaluate the determinant
2. Find the matrix inverse
3. Find the matrix transpose
4. Find the eigenvalues
5. Find the row echelon form (REF)
6. Find the reduced row echelon form (RREF)

How to Use the Matrix Calculator

Follow these steps to get results and full working steps

1. Enter your matrix using brackets [] (e.g., [1 2; 3 4])
2. Click “Solve”
3. View the final result and step-by-step solution

Matrix Problem Examples

det([1 2; 3 4])

inv([2 1; 5 3])

transpose([1 2 3; 4 5 6])

eigenvalues([2 1; 1 2])

ref([1 2 3; 2 4 6; 1 1 1])

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Frequently Asked Questions

What Matrix Sizes Are Supported?

Most operations work for common square matrices (like 2×2, 3×3, 4×4). For eigenvalues, determinant, and inverse, the matrix must be square.
When Does a Matrix Have an Inverse?

A matrix is invertible only if its determinant is not zero. If det(A) = 0, the inverse does not exist.
What’s the Difference Between REF and RREF?

REF (Row Echelon Form): zeros below each leading entry. RREF (Reduced Row Echelon Form): additionally makes leading entries equal to 1 and clears above each leading entry.
Need Steps from a Photo?

Scan your linear algebra homework and get step-by-step solutions in the Socratic AI (ScanMath) app.