Eric Knecht
HW1

1.      x1=x
	x2=y
	x3=z

	Given:
	x+y=2
	y+z=3
	x+2y+z=5

	y=3-z, x=2-y

	(2-(3-z))+2(3-z) +z=5
	z+10=5
	z=-5
	y=8
	x=-6
	
2.     -1/6   1/2
 	1/3     0
	
3.
	Ut
		20% => Tt+1
		5% => Q
		75%=>Ut+1
	Tt
		90%=>Tt+1
		10%=>Q
	
	 _ Ut    Tt  _   _
	| .75    0    | |Ut| = Ut+1
        | .2     .9   | |Tt|   Tt+1
	
4. I couldn't finish the Gauss-Jordan problems, I could start them then would get stuck and unsure what to do.

5. -3/2  1
    1/2  0

6. |GPA1|  = |3.6  3.8| |4| + |2.6  3.4| |3|
   |GPA2|    |3.7  3.1| |4|   |2.4  3.6| |3|

7.
8. |5 -3|
   |-3 2|

9. Ct
      5% => At+1
      1% => D
      94% => Ct+1
   At
      3% => D
      97% => At+1
      _ Ct    At    _   _
     | .94    .03    | |Ct| = Ct+1
     | .05     .97   | |At|   At+1

12. Rt
      10% => Ct+1
    Ct
      20% => Rt+1

         _ Rt    Ct  _   _
        | .9     .2   | |Rt| = Rt+1
        | .1      0   | |Ct|   Ct+1

13. linearly independant
14. linearly dependant
15. a) a-d are non zero
    b) A^-1 = |1/a  0    0     0|
              |0    1/b  0     0|
              |0    0    1/c   0|
              |0    0        1/d|