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Mathematical Tools Hub

Free interactive calculators with step-by-step solutions — designed for BSc, MSc, CSIR NET, GATE and IIT JAM students.

Linear Algebra Tools

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Matrix Multiplication

Multiply any two compatible matrices (up to 10×10). Displays full row-column dot-product steps with written English explanations and LaTeX-rendered formulas.

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Determinant

Compute the determinant of any square matrix using cofactor expansion — with a step-by-step breakdown of each minor and sign pattern.

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Matrix Inverse

Find the inverse of an invertible matrix using the adjugate method or Gauss-Jordan elimination — step by step with singularity checks.

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Eigenvalues & Eigenvectors

Compute eigenvalues by solving the characteristic equation det(A − λI) = 0, then find eigenvectors for each eigenvalue — fully worked out.

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