InverseMatrix

Inverse matrix (inglés)

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If it exists, the inverse matrix A⁻¹ of a marix A satisfies the equation:

The inverse, A⁻¹, of a 2 ×2 is given by:

A⁻¹ =

ad−bc






−b

−c






The inverse of a 3 ×3 matrix A can be found by dividing the adjoint of A by the determinant of A:

A =













det(A) = a(ei − hf) − b(di−gf) + c(dh − eg)

so,

A⁻¹ =

a(ei − hf) − b(di−gf) + c(dh − eg)



















(ei − hf)

(hc − bi)

(bf − ec)

(gf − di)

(ai − gc)

(dc − af)

(dh − ge)

(gb − ah)

(ae − db)





