please send handwritten solution for Q 2 1.Find basis of Span3-2 22.Find LU factorization of A =9 -6 4-5 3Let V be a vector space of all symmetric matrices of the size 2 × 2. Choosea basis in this space and find the matrix of the linear operator L with respect to this3.L(4) = (" 3) - ( ).1Find the range and the kernel of the linearbasis if12operator L. Find the Null space, the column space and the rank of the matrix of theoperator L.

Answered: 1 -2 2 Find LU factorization of A = 9…

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

please send handwritten solution for Q 2

1.
Find basis of Span
3
-2 2
2.
Find LU factorization of A =
9 -6 4
-5 3
Let V be a vector space of all symmetric matrices of the size 2 × 2. Choose
a basis in this space and find the matrix of the linear operator L with respect to this
3.
L(4) = (" 3) - ( ).
1
Find the range and the kernel of the linear
basis if
1
2
operator L. Find the Null space, the column space and the rank of the matrix of the
operator L.

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