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Fall 2009 2B 9:00 exam Material Type: Exam; Professor: Schurle; Class: MATRICES/MATRIX CALCULATNS-C S; Subject: Mathematics; University: University of Texas - Austin; Term: Fall 2009;
Typology: Exams
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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 = x + y + 2. 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 1.
