Unformatted text preview: A maps vectors in R 3 . Hint: Consider the action of A on the unit sphere. 2 Existence and uniqueness Exercise 5. Do the following functions satisfy the Lipschitz condition? a) f ( x ) not continous in x b) f ( x ) = x 2 on [-3 , 7] c) f ( x ) = x 2 d) f ( x ) = √ x on [0 , 3] e) f ( x ) = √ x 2 + 5 f) f ( x ) = sin x 1...
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- Fall '10
- Matrices, Normal matrix, Unitary matrix, geometric interpretation, Singular value