Question1 Suppose B (b) is a basis for a vector space V, x is in V, and [xla is

Question

Question1 Suppose B (b) is a basis for a vector space V, x is in V, and [xla is the B-coordinate vector of x. Which of the below is not true? IEV=R", the equation Pe-1x=[xla defines a one-to- one linear transformation x ? [x]B from Rn onto Rn. For any xin V, there is unique vector [x)B-(Gy ,GJ such that x cb +Cnn For a vector space V, the coordinate mapping x? x?a A. B. C. is a one-to-one linear transformation from V onto R from V onto R. n) is isomorphic to R. D. The coordinate mapping x [xlB is an isomorphism he ysonapopare tof polls e at most

Explanation / Answer

Vector space of polynomials Pn of degree less than equal to n have (n+1) vectors .... So it is not isomorphic to Rn.... So option E is not true....

Answer - option E...

If you have any doubt in any part then comment .. I will explain....

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