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anonymous
 5 years ago
Verify that T2 x T1 is a linear transfromation when T1: U>V and T2: V>W
anonymous
 5 years ago
Verify that T2 x T1 is a linear transfromation when T1: U>V and T2: V>W

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Both T1 and T2 are linear transformations

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0T2 x T1 means the composition of them i presume

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, it can also be written T2T1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then just check the two conditions for a mapping to be linear transformation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0T2T1(ax + y) = T2[a(T1)(x) +(T1)(y)] by the linearity of T1 =T2[a(T1)(x)] + (T2)(T1)y by the linearity of T2 =aT2T1(x) + T2T1(y)
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