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 2 1 basis if L(A) = (-4 (1 ²).A. (2₂ ·(2+¹). Find the range and the kernel of the linear -1 operator L. Find the Null space, the column space and the rank of the matrix of the operator L.
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 2 1 basis if L(A) = (-4 (1 ²).A. (2₂ ·(2+¹). Find the range and the kernel of the linear -1 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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