math question

MATH 3304 Linear Algebra: Quiz 12 (10 points)

Problem 1

A =

  −1 3 22 −6 −3

1 −3 −2

  , x =

  01

0

 

(1) Find a basis for Col A. Find rank A (2) Find a basis for Nul A. Find dim Nul A (3) Find the coordinate vector of x relative to the basis B for Col A found in (1).

1