Linear Algebra

Cross Product Calculator

Find the oriented vector perpendicular to two 3D vectors and explain direction and magnitude.

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Compute determinants of square matrices and explain cofactor expansion or row-operation effects.

Compute vector dot products and use the result for angles, orthogonality, or projections.

Find characteristic polynomials, eigenvalues, and eigenvectors or eigenspaces for square matrices.

Find the inverse of a nonsingular matrix using exact row operations and verify it against the identity matrix.