Due on **/** at the beginning of lab.

Submit your m-file and a diary that shows how you tested the code.

Use the algorithm for Gram-Schmidt that was covered in lab and not the algorithm

that is written in the book.

Write an m-file grams.m

to perform the Gram-Schmidt process on the columns of a matrix A with an arbitrary number of columns (the input) and return a matrix Q whose columns are the resulting vectors. Test your code on the following matrix:

A = 1 -1 7 1

0 6 -3 6

-7 -7 -7 4

-9 6 0 -1

Check that your answer is orthonormal.

Hint:

You can use the following hint to start the assignment.

Pseudo-code:

initialize Q

run through each column of Q

create the sum (hint: use a for loop)

subtract the sum from the column of Q

end

run through each column of Q

normalize the column of Q

end