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TRUE OR FALSEThere exists a 2 x 2 matrix A such that the space of all matrices commuting

Chapter 4, Problem 18

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QUESTION:

TRUE OR FALSE?There exists a 2 x 2 matrix A such that the space of all matrices commuting with A is 1-dimensional.

Questions & Answers

QUESTION:

TRUE OR FALSE?There exists a 2 x 2 matrix A such that the space of all matrices commuting with A is 1-dimensional.

ANSWER:

Step 1 of 2

Consider the matrix is,

Here,

The objective is to determine if there is a matrix A that has spaces of the matrix set which is commuting and is one dimensional.

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