1 -2 2 9 -6 4 9 -5 3 Find LU factorization of A = 2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.5: Applications
Problem 30EQ
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1.
Find basis of Span
1
-3
1
1
-2
3
1
-2 2
9 -6 4
9 -5 3
2.
Find LU factorization of A
9.
Let V be a vector space of all symmetric matrices of the size 2 x 2. Choose
a basis in this space and find the matrix of the linear operator L with respect to this
3.
(
:).
-4
-4
1
basis if L(A)
= (2) A-G ). Find the range and the kernel of the linear
· A•
1
operator L. Find the Null space, the column space and the rank of the matrix of the
operator L.
Transcribed Image Text:1. Find basis of Span 1 -3 1 1 -2 3 1 -2 2 9 -6 4 9 -5 3 2. Find LU factorization of A 9. Let V be a vector space of all symmetric matrices of the size 2 x 2. Choose a basis in this space and find the matrix of the linear operator L with respect to this 3. ( :). -4 -4 1 basis if L(A) = (2) A-G ). Find the range and the kernel of the linear · A• 1 operator L. Find the Null space, the column space and the rank of the matrix of the operator L.
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