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TRUE OR FALSEIf T is a linear transformation from V to V, then the intersection of in^r)

Chapter 4, Problem 13

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QUESTION:

TRUE OR FALSE?If T is a linear transformation from V to V, then the intersection of in^r) and ker(T) must be {0}.

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QUESTION:

TRUE OR FALSE?If T is a linear transformation from V to V, then the intersection of in^r) and ker(T) must be {0}.

ANSWER:

Step 1 of 3

Given:  is a linear transformation from  to .

Assume  defined by .

As  is a linear transformation then,

Thus,  is in kernel of .

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