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Questions and Answers
Which set denotes the vector space of all linear transformations from V to W?
Which set denotes the vector space of all linear transformations from V to W?
- V ∗
- L(V, W) (correct)
- W ∗
- L(V)
What is the formula for (f + g)(v)?
What is the formula for (f + g)(v)?
- (f + g)(v) = f(v) - g(v)
- (f + g)(v) = f(v) + g(v) (correct)
- (f + g)(v) = f(v) / g(v)
- (f + g)(v) = f(v) * g(v)
What is the formula for (k · f)(v)?
What is the formula for (k · f)(v)?
- (k · f)(v) = k - f(v)
- (k · f)(v) = k + f(v)
- (k · f)(v) = k * f(v)
- (k · f)(v) = k · f(v) (correct)
What is the dimension of the vector space L(V, W) if dim V = n and dim W = m?
What is the dimension of the vector space L(V, W) if dim V = n and dim W = m?
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What is the zero vector in L(V, W)?
What is the zero vector in L(V, W)?
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Which one of these is the most correct?
Which one of these is the most correct?
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Which one of these is the most correct?
Which one of these is the most correct?
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Which one of these is the most correct?
Which one of these is the most correct?
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Which one of these is the most correct?
Which one of these is the most correct?
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Which one of these is the most correct?
Which one of these is the most correct?
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