Solutions Quiz 8 - Applied Linear Algebra | MATH 310, Quizzes of Linear Algebra

Download Solutions Quiz 8 - Applied Linear Algebra | MATH 310 and more Quizzes Linear Algebra in PDF only on Docsity!

Math 310, 1pm Quiz 8 solutions: 5.

Let S =Span

(1, − 4 , 3)T^

. Find a basis for S⊥.

Let A =

Find N (AT^ ):

N (AT^ ) =span

(4, 1 , 0)T^ , (− 3 , 0 , 1)T^

∴ the basis for S⊥^ = {(4, 1 , 0)T^ , (− 3 , 0 , 1)T^ }