interactive Matrix inverse - Maple Programming Help

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Student[LinearAlgebra][InverseTutor] - interactive Matrix inverse

 Calling Sequence InverseTutor(M)

Parameters

 M - square Matrix

Description

 • The InverseTutor(M) command allows you to interactively find the inverse, if it exists, of the square Matrix M by using row operations to reduce the augmented Matrix $⟨M|\mathrm{Id}⟩$ to $⟨\mathrm{Id}|\frac{1}{M}⟩$ where Id is the identity Matrix of the same dimension as M. It returns the inverse Matrix.
 • Floating-point numbers in M are converted to rationals before computation begins.
 • The dimensions of the Matrix must be no greater than 5x5.

Examples

 > $\mathrm{with}\left({\mathrm{Student}}_{\mathrm{LinearAlgebra}}\right):$
 > $M≔⟨⟨1,2,0⟩|⟨2,3,2⟩|⟨0,2,1⟩⟩$
 ${M}{≔}\left[\begin{array}{ccc}{1}& {2}& {0}\\ {2}& {3}& {2}\\ {0}& {2}& {1}\end{array}\right]$ (1)
 > ${M}^{-1}$
 $\left[\begin{array}{ccc}\frac{{1}}{{5}}& \frac{{2}}{{5}}& {-}\frac{{4}}{{5}}\\ \frac{{2}}{{5}}& {-}\frac{{1}}{{5}}& \frac{{2}}{{5}}\\ {-}\frac{{4}}{{5}}& \frac{{2}}{{5}}& \frac{{1}}{{5}}\end{array}\right]$ (2)
 > $\mathrm{InverseTutor}\left(M\right)$