Linear Algebra

Gram-Schmidt Orthogonalization

Convert linearly independent vectors into an orthonormal basis using the Gram-Schmidt process. Shows every projection, subtraction, and normalization step.

Inputs
Vector v₁
Vector v₂
Vector v₃

Before (blue) vs After (gold) — 2D projection

Input vectors váµ¢
Orthonormal eáµ¢
Projection (dashed)

Step-by-Step Work

Related Tools
Gauss-Jordan Elimination (RREF)
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Gaussian Elimination
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Hadamard Product (Element-wise Multiplication)
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Jordan Normal Form
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Kronecker Product (A ⊗ B)
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