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The set of all n x n matrices having trace equal to zero is a subspace W of Mnxn (F)

Chapter 1, Problem 15

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QUESTION:

The set of all n x n matrices having trace equal to zero is a subspace W of Mnxn (F) (see Exam is the dimension of W?

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QUESTION:

The set of all n x n matrices having trace equal to zero is a subspace W of Mnxn (F) (see Exam is the dimension of W?

ANSWER:

 Step 1 of 3

Given W is a set of all  matrices having trace equal to zero and is a subspace ofi.e.,  

 

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