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Flashcards in Chapter 3 Deck (14)
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1

Definition of a linear map

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2

Lemma 30:
Suppose T: V->W is a linear map, then?

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3

What is a composition of linear maps?

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4

When is a linear map isomorphic?

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5

What is vecV,B(c)

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6

Let T: V -> W be a linear map of a vector space V to a vector space W. Let B equal b1, b2, b3,...,bm
Let C equal c1,....,cm
What is the matrix of T with repect to bases B and C?

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7

Let T: V -> W be a linear map of a vector space V to a vector space W. Let B equal b1, b2, b3,...,bm
Let C equal c1,....,cm
Then for all vectors v in V?

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8

What is Kernal of T?

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9

What is the Image of T

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10

Prove that two finite dimensional vector spaces V and W are isomorphic iff they have the same dimension

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11

Prove theorem [T(v)]c=[T]c

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12

What is a composite map?
Prove it

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13

What is the functionality of the matrix of a linear map?

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14

What is the rank nullity theorem?

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