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Both calculators run independently — change the inputs on either side to compare results.

Eigenvalue Calculator

Compute the eigenvalues and eigenvectors of a 2×2 matrix instantly. Used in stability analysis, principal component analysis, and quantum mechanics.

Matrix Element (1,1)

Matrix Element (1,2)

Matrix Element (2,1)

Matrix Element (2,2)

Decimal Precision

Fill in the required fields to see your result.

Linear Algebra

Matrix Rank Calculator

Determine the rank of any matrix up to 3×4 using Gaussian elimination. Use it when solving linear systems, checking linear independence, or verifying that a matrix has full rank.

Number of Rows

Number of Columns

Element (1,1)

Element (1,2)

Element (1,3)

M14

M21

M22

M23

M24

M31

M32

M33

M34

Fill in the required fields to see your result.

Key differences

	Eigenvalue Calculator	Matrix Rank Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	5	14
Result	First Eigenvalue	Matrix Rank
What it does	Compute the eigenvalues and eigenvectors of a 2×2 matrix instantly. Used in stability analysis, principal component analysis, and quantum mechanics.	Determine the rank of any matrix up to 3×4 using Gaussian elimination. Use it when solving linear systems, checking linear independence, or verifying that a matrix has full rank.