21: A: Let f be a function from a normed space X in to a normed space Y. show thatof continuous iff for any sequence (x,) in X convergent to xo then the sequence(f(x)) convergent to f(x) in Y.B: Let X be a vector space of dimention n isomorphic to a vector space Y. write withprove the dimension of Y. 3222: A: Let X be a horned space of finite dimension .show that any two normone X areVequivalent.B: Let M2x3 be a vector space of 2×3. matrices on a field ? write wittraverconvex set and hyperplane of M2x3 17that

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Answered: 21: A: Let f be a function from a…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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