The Final Exam is based on Sections 1.1–1.5, 1.7–1.9, 2.1–2.3, 4.1–4.6, 5.1–5.3,
6.1–6.3, 6.5 and the Owl Problem. Since it also includes the Owl Problem, some
knowledge of parts of sections 5.5 and 5.6 is required.
In each question on the exam set out your work. Both your reasoning and
your answer should be clear.
Only scientiﬁc calculators are allowed. No graphing, symbolic or pro-
grammable calculators allowed.
Go over your notes. Make sure you know important theorems. Make sure
you can do all suggested homework problems.
Know the deﬁnitions of the following terms:
Span, linearly independent,
linear transformation, subspace, invertible matrix, null space, column space, row
space, rank, basis, dimension, coordinate vector, eigenvector, eigenvalue, diagonal-
izable, orthogonal set of vectors, orthonormal set of vectors, orthogonal complement
of a subspace, least squares problem.
Don’t confuse a deﬁnition with a theorem
Make sure you can do the following: