Description
Problem 4.1: What matrix E puts A into triangular form EA = U? Multiply by E−1 = L to factor A into LU.
A
Problem 4.2: (2.6 #13. Introduction to Linear Algebra: Strang) Compute L
and U for the symmetric matrix
⎡ a
A = ⎢⎢ aa
⎣
a a b b b a b c c a ⎤ b ⎥
c ⎥⎦ . d
Find four conditions on a, b, c, d to get A = LU with four pivots.
1
MIT OpenCourseWare http://ocw.mit.edu
18.06SC Linear Algebra
Fall 2011
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