I need to write a procedure to check whether a group of input vectors is an orthonormal basis. If anyone can help me with this I would really appreciate it. Thanks.

I need to update prcLeastSquareLA so that it adds error estimate information as an output in prcLeastSquareLA.

This is what I have so far:

prcLeastSquareLA:=proc(data,degree)

local vars,y,A,V,k,e,i,j,v,c,lstVars;  

vars := seq(c_i, i = 0 .. degree);

y := unapply(`+`(seq((c_i)*t^i, i = 0 .. degree)), t);

 for k to nops(data) do 

e_k := y(data[k][1]) = data[k][2];

v_k := [coeffs(lhs(e_k))];

Modify the shortest path problem by rewriting a procedure Path, non-Recursion
 that print out the shortest path from a to e base on the information from
 setShortestDistNode
 input:  destination "e" and setShortestDistNode
 output:  path : a -> b -> d -> e the total cost: 9
hint: copy everything that we did in shortest path problem, and rewriting a procedure Path, with while loop

I'm assuming this means this, but...