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Showing posts with label
Linear Transformation Theorems
.
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Showing posts with label
Linear Transformation Theorems
.
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Linear Transformation Theorem-1
Labels:
Linear Algebra
,
Linear Transformation Theorems
Statement:-
Let T be a linear transformation from avector space U into V over the field F.Then T is non-singular iff T is one-one.
Proof:-
Let T be a non-singular transformation from U into V.
Let α
1
,α
2
∊
U such that
(0)
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