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.
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.
![[Graphics:Images/index_gr_3.gif]](Images/index_gr_3.gif)
![[Graphics:Images/index_gr_5.gif]](Images/index_gr_5.gif)
The third column:
![[Graphics:Images/index_gr_7.gif]](Images/index_gr_7.gif)
![[Graphics:Images/index_gr_9.gif]](Images/index_gr_9.gif)
![[Graphics:Images/index_gr_11.gif]](Images/index_gr_11.gif)
![[Graphics:Images/index_gr_13.gif]](Images/index_gr_13.gif)
![[Graphics:Images/index_gr_15.gif]](Images/index_gr_15.gif)
![[Graphics:Images/index_gr_17.gif]](Images/index_gr_17.gif)
![[Graphics:Images/index_gr_19.gif]](Images/index_gr_19.gif)
Find the cosine of the angle between the two plance described by:
x + 2 y + 3 z = 0
and
-2x + y + z = 0
![[Graphics:Images/index_gr_21.gif]](Images/index_gr_21.gif)
![[Graphics:Images/index_gr_23.gif]](Images/index_gr_23.gif)
![[Graphics:Images/index_gr_25.gif]](Images/index_gr_25.gif)
![[Graphics:Images/index_gr_27.gif]](Images/index_gr_27.gif)
Find (By Gaussian Elimination + Back substitution) the inverse of the matrix.
![[Graphics:Images/index_gr_30.gif]](Images/index_gr_30.gif)
![[Graphics:Images/index_gr_32.gif]](Images/index_gr_32.gif)
![[Graphics:Images/index_gr_34.gif]](Images/index_gr_34.gif)