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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)

Fill in the required fields to see your result.

Linear Algebra

Angle Between Vectors Calculator

Compute the angle in degrees between two 2D vectors using cos θ = (v1·v2)/(|v1|·|v2|) and the arccosine function. The result lies in [0°, 180°] regardless of vector orientation.

Vector 1 - X component

Vector 1 - Y component

Vector 2 - X component

Vector 2 - Y component

Fill in the required fields to see your result.

Key differences

	2x2 Matrix Eigenvalue Calculator	Angle Between Vectors Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	4	4
Result	Larger Eigenvalue	Angle Between Vectors (degrees)
What it does	Find both eigenvalues of any 2×2 matrix using the characteristic equation. Essential for stability analysis, principal component analysis, and differential equations.	Compute the angle in degrees between two 2D vectors using cos θ = (v1·v2)/(\|v1\|·\|v2\|) and the arccosine function. The result lies in [0°, 180°] regardless of vector orientation.