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Differentiation and Integration Formulas

Find rank, index, signature and nature of the quadratic form and its canonical form by using orthogonal transformation of a given equation?

Finding out characteristic equation, eigen values and corresponding eigen vectors for the given matrix

Verify Cayley Hamilton for a given matrix A

The inverse of a matrix by elementary transformations ( Gauss-Jordan method )

Normal form of a matrix

Echelon form of a matrix