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Gram-Schmidt Process Calculator

Transform a set of linearly independent vectors into an orthogonal or orthonormal basis using the Gram-Schmidt process. Useful in linear algebra courses, QR decomposition, and signal processing applications.

Normalization

Vector 1 - X component

Vector 1 - Y component

Vector 2 - X component

Vector 2 - Y component

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Linear Algebra

2x2 Matrix Eigenvalue Calculator

Find both eigenvalues of any 2×2 matrix using the characteristic equation. Essential for stability analysis, principal component analysis, and differential equations.

Element a (top-left)

Element b (top-right)

Element c (bottom-left)

Element d (bottom-right)

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Key differences

	Gram-Schmidt Process Calculator	2x2 Matrix Eigenvalue Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	5	4
Result	First Orthogonal Vector Magnitude	Larger Eigenvalue
What it does	Transform a set of linearly independent vectors into an orthogonal or orthonormal basis using the Gram-Schmidt process. Useful in linear algebra courses, QR decomposition, and signal processing applications.	Find both eigenvalues of any 2×2 matrix using the characteristic equation. Essential for stability analysis, principal component analysis, and differential equations.