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Calculators
Math Calculators
Linear Algebra Calculators
Diagonalize Matrix Calculator

Diagonalize Matrix Calculator

Free online Diagonalize Matrix Calculator. Part of our comprehensive Math Calculators suite.

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About Diagonalize Matrix Calculator

Our free online Diagonalize Matrix Calculator offers an efficient and precise solution for diagonalizing square matrices. Tailored for students, educators, engineers, and researchers, this tool addresses the often complex calculations involved in linear algebra. It accurately computes the eigenvalues, eigenvectors, and then constructs both the diagonal matrix (D) and the invertible matrix (P) such that the original matrix A can be represented as PDP⁻¹. This functionality is crucial for simplifying the analysis of linear transformations, calculating matrix powers, and is fundamental across disciplines including differential equations, quantum mechanics, and data science. By automating these intricate steps, our calculator significantly reduces calculation time, minimizes potential errors, and fosters a deeper understanding of essential mathematical principles.

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Space between columns, newline between rows

Determinant |A|

-2.00

Matrix Rank

2

RREF (Reduced Row Echelon Form)

[ 1.00 0.00 ]
[ 0.00 1.00 ]

Matrix Inverse (A⁻¹)

[ -2.000 1.000 ]
[ 1.500 -0.500 ]