Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
This is an exam for the linear algebra m340l course offered in the fall of 2009. It covers topics such as vector spaces, subspaces, matrix row reduction, eigenvalues, and change of coordinates. The exam consists of 8 questions and is 100 points total.
Typology: Exams
1 / 6
This page cannot be seen from the preview
Don't miss anything!
Your name:
Your UTEID:
Show all your work on these pages. Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones,....
x y z
such that z = 2x − 3 y. Is H a subspace of
R^3? Justify your answer.
The smallest number of vectors needed to span Col A is.
The largest number of linearly independent vectors in Nul A is.
The row space of A is a subspace of Rq^ when q =.
Does Ax = b have a solution for every b in R^15 , yes or no?
,
,
,
an eigenvector of
? If so, find the eigenvalue.
Show the work that justifies your answer.
b) Find a basis for the eigenspace of A =
[ 5 0 2 1
] corresponding to eigenvalue 5.
