Math 1502 Quiz 4
Feb 29, 2000

Section: Circle One:
Section A1:Lindsay Bates.Classroom:Skiles 202
Section A2:Eric Forgoston.Classroom:Skiles 246
Section A3:Mohammed Sinnokrot.Classroom:Skilkes 256
Section A4:Kasso Okoudjou.Classroom:Skiles
Section A5:Marcus Sammer. Skiles 140

Open Book and Notes.  Carefully explain your proceedures and answers. Calculators allowed, but answers mush be exact.

Problem #1

The column space of the matrix:
                         
                  A =     
  is  a plane. Find an equation of this plane.   Show that the vector
  
  b =   is in this plane. Find ALL solutions to Ax=b.

Ans

The third column:
    

Problem 2 (5 points)

Find the cosine of the angle between the two plance described by:



    x + 2 y + 3 z = 0
    
    and
    
    -2x + y + z = 0
    

Ans

Don't Panic

Problem 3 (10 points)

Find (By Gaussian Elimination +  Back substitution)  the inverse of the matrix

.

Ans