I2

Orthonormal basis for R3

Use the R code question generator (Question 2) linked in the assignment resources folder with title 'R Code for Questions 2 and 3'. You need to use your student ID to generate a set of ordered triples. Change the first line

studentnumber <- 200000001

so that your own student number is used instead.

i. Does the set of ordered triples generated form a basis for R3? Provide a justification for your response.

ii. Starting with the vectors in (i), use the Gram-Schmidt procedure to construct an orthonormal basis for R3. Verify that the resulting vectors are orthonorm