Skill areas to be covered in
conferences
Conference #1 - March 12
1)solving
systems of equations with Gauss
achieving
Final Form
assigning
arbitrary variables
recognizing
the 3 types of solutions
2)matrix
arithmetic
row * column
matrix
* column
matrix *
matrix
Conference
#2 March 19
1) solutions of systems
in vector form
assigning
arbitrary variables (again)
2) matrix algebra
working
symbolically with matrices
non-commutativity
inverses and
their algebra (AB)-1
= B-1A-1 etc
finding
homogeneous solutions to
problems like
Ax
= 5x (prelude
to eigenstuff later)
powers
diagonal
matrices
Conference #3 March 26
1.
determinants
compute by criss-cross or expansion (3x3)
2. solutions of homogeneous
systems - basis
Conference
#4 April 2
Vector spaces –
proving a
set is a vector space
finding a
counterexample when it isn’t
Problems
from:
geometry
(lines, planes)
matrices
(subsets of 2x2 matrices)
polynomials
solutions
to homogeneous differential equations
Conference
#5 April 9
linear transformations
algebra of , utilizing the definition
finding the matrix of
Conference #6 April 16
1) recognizing
eigenvectors & eigenvalues
using the
definition
2) computing them as homogeneous solutions
esp case of double roots
setting up P and D matrices
as in A =P D P-1
Conference #7 April 23
review for final exam