Use the result of Exercise 34 and a suitable test for invertibility of a matrix in Maple o...

Use the result of Exercise 34 and a suitable test for invertibility of a matrix in Maple or another appropriate software package to show that the vectors in Exercise 31 (a) form a basis for .

Exercise 34

Let v1, v2, …, vn be vectors in  Show that v1,v2, …,vn form a basis for  if and only if the matrix [v1, v2 ,…, vn] is nonsingular.

Exercise 31

Use the system of linear equation solving capabilities of Maple or another appropriate software package in Exercise.

a) Show that the vectors

form a basis for .

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b) Find the coordinates of

relative to the basis in part (a).