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Material Type: Exam; Class: Elementary Linear Algebra; Subject: Mathematics; University: Western Washington University; Term: Spring 2006;
Typology: Exams
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Test 2 April 28, 2006 Name
Put your answers in the space provided. Show your reasoning. The maximum score on the test is 30 points.
,
1a. Explain why A is singular.
1b. Construct a non-zero, 3 × 3 matrix B for which AB = 0. Note: B may have zero entries but not all the entries in B are zero. Circle your answer.
. Show the appropriate steps for computing A− 1
without using your calculator. Circle your answer.
a 1 =
, a 2 =
, a 3 =
, a 4 =
, b =
.
They are the columns of the following matrix [A b] and the matrix R is its row reduced echelon form:
[A b] =
R =
9a Find a basis for Nul(A). Circle your answer.
9b. Find a basis for Col(A). Rectangle your answer.