1. Find basis of Span 3 1 -2 2 2. Find LU factorization of A = 9. -6 4 9 -5 3 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. basis if L(A) : 1 2 ·A• Find the range and the kernel of the linear operator L. Find the Null space, the column space and the rank of the matrix of the operator L.

1. Find basis of Span 3 1 -2 2 2. Find LU factorization of A = 9. -6 4 9 -5 3 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. basis if L(A) : 1 2 ·A• Find the range and the kernel of the linear operator L. Find the Null space, the column space and the rank of the matrix of the operator L.

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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