Linear Algebra Step-by-Step Calculator
Linear algebra is the backbone of machine learning, physics, and advanced computer science. Welcome to Zimbook’s free Linear Algebra Solver. Instead of doing tedious row reductions by hand, our intelligent mathematical engine allows you to instantly compute determinants, inverses, and Reduced Row Echelon Forms (RREF). Build your vectors and matrices in our interactive 2D canvas below to get started.
How to Use the Linear Algebra Calculator
Working with matrices on a computer can be frustrating. We've eliminated the formatting headaches with custom quick-keys:
Quick Matrix Insertion: Click the [ ■ ] 2x2 or [ ■ ] 3x3 buttons to instantly drop a blank, fill-in-the-blank matrix onto your screen.
Commands: Wrap your matrix in our dedicated command tags. Use det() to find the determinant, inv() for the inverse matrix, or rref() to perform Gauss-Jordan elimination.
Vectors: You can multiply vectors using the ⋅ (Dot) product or the × (Cross) product buttons.
What Can This Matrix Solver Do?
This engine evaluates university-level computations natively. It is programmed to handle:
- Matrix addition, subtraction, and scalar multiplication.
- Vector operations (Dot products and Cross products).
- Identifying matrix transposes (Aᵀ) and calculating Eigenvalues (eigen).
- Solving systems of linear equations via RREF.
(Note: If you are looking to solve basic linear equations like 2x + 4 = 10 rather than matrices, please use our Algebra Calculator instead!)
Frequently Asked Questions
Can I calculate 3x3 or 4x4 matrices?
Absolutely. While our quick-key button drops a standard 2x2 matrix for convenience, you can create a matrix of any size. Simply right-click inside the calculator box, select "Insert Matrix," and choose your exact dimensions.
Is the Zimbook Finite Math solver completely free?
Yes. We believe that advanced math tools shouldn't be hidden behind a paywall. You can use our matrix solver, combinatorics engine, and step-by-step breakdowns completely free of charge, with no sign-up required.