Suppose that A is a fixed 2x2 matrix. Let U = {X ∈ M22 | AX = XA} Question: Prove that U is a subspace of M22.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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Suppose that A is a fixed 2x2 matrix. Let U = {X ∈ M22 | AX = XA}

Question: Prove that U is a subspace of M22.

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