MaplePrimes - answers and comments on Question, how to check if a group of vectors is an orthogonal basis

Hint

Markiyan Hirnyk — Thu, 08 Nov 2012 09:40:41 Z

A set of n vectors of forms a basis of iff the ?LinearAlgebra/Determinant having these vectors as its rows (or columns) does not equal zero. The pairwise orthogonality can be checked by calculating ?LinearAlgebra/DotProduct .

not exactly what I need help with

Rowlinginthedeep — Fri, 09 Nov 2012 01:12:39 Z

thanks but what I need help with is how to write the procedure. Could you help me with that

Start point

Markiyan Hirnyk — Sun, 11 Nov 2012 16:31:12 Z

@Rowlinginthedeep

basis := proc (a::set)
local j;
for j to nops(a) do
   if type(a[j], Vector) <> true then
     print("Invalid Input")
   end if
end do
end proc

See ?procedure for more info. Good luck!