Matrix Calculator: Add, Multiply & Find Determinant | Free
1 uses
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Matrix A
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Matrix B
Matrix Calculator Tips
Up to 4×4 Matrices
Work with matrices up to 4×4 size. Supports addition, subtraction, multiplication, transpose, and determinant.
5 Operations
Add (A+B), subtract (A-B), multiply (A×B), transpose A, and calculate det(A).
Instant Results
Results appear immediately in a formatted matrix display with proper bracket notation.
Perfect for Students
Great for linear algebra homework, engineering calculations, and learning matrix operations.
Frequently Asked Questions
What matrix sizes are supported?
2×2, 3×3, and 4×4 matrices. The size can be changed with the dropdown menus.
Can I multiply matrices of different sizes?
Yes, as long as the number of columns in matrix A equals the number of rows in matrix B (for A×B).
What is a matrix determinant?
The determinant is a scalar value computed from a square matrix that indicates whether the matrix is invertible. det(A) = 0 means the matrix is singular.
How is matrix multiplication different from regular multiplication?
Matrix multiplication is not commutative (A×B ≠ B×A in general). Each element is the dot product of a row from A and a column from B.
How does the step-by-step feature assist in learning and verifying matrix operations?
Our matrix calculator's step-by-step results are perfect for both learning and verification. For students, it demystifies complex calculations like matrix multiplication or determinant finding, showing each intermediate stage. Professionals can use it to quickly double-check critical matrix operations, ensuring accuracy in data analysis or engineering tasks. It’s an essential tool for solidifying understanding and validating results efficiently.
How to Use the Matrix Calculator
- Select the matrix size (2×2, 3×3, or 4×4)
- Enter values for Matrix A and Matrix B
- Click an operation button (A+B, A-B, A×B, Transpose, det)
- View the result matrix below