Description
Exercises on factorization into A = LU
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.
