Physics 410 practice problems for Final Exam Fall 2007, Frey Closed book exam. No calculators. 1. Consider the Sturm-Liouville equation Lui (x) + i w(x)ui (x) = 0. L is Hermitian over the interval [a,
Lectures 1-2
Systems of Linear Equations
matrix mult: cij =
k aik bkj
homog. and non-homog. cases determinant
matrix inversion
Orthogonal and unitary matrices
U U = U = U 1
|x
= U |x , x |x
= x
Physics 410 Midterm Practice Exam
Fall 2007, Frey
Closed book exam. No calculators. There are 6 practice problems. The actual exam will have
no more than 5.
1. (15 points)
Using the denition of matrix
Physics 410 practice problems for Final Exam
Fall 2007, Frey
Closed book exam. No calculators.
1. Consider the Sturm-Liouville equation Lui (x) + i w(x)ui (x) = 0. L is Hermitian over the
interval [a,
Lectures 1-2
Systems of Linear Equations
matrix mult: cij =
k aik bkj
homog. and non-homog. cases determinant
matrix inversion
Orthogonal and unitary matrices
U U = U = U 1
|x
= U |x , x |x
= x