MATH 3510 Chapter Notes - Chapter 16: Invertible Matrix, Coordinate Vector, John Wiley & Sons
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Concept review: basis, standard bases for, finite-dimensional, infinite-dimensional, coordinates, coordinate vector. Skills: show that a set of vectors is a basis for a vector space, find the coordinates of a vector relative to a basis, find the coordinate vector of a vector relative to a basis. Exercise set 4. 4: in words, explain why the following sets of vectors are not bases for the indicated vector spaces. for for for. Answer: (a) (b) (c: find the coordinate vector of w relative to the basis of (a) (b) (c, find the coordinate vector of v relative to the basis (a) (b) Answer: (a) (b: find the coordinate vector of p relative to the basis (a) (b, find the coordinate vector of a relative to the basis. , and express a as a linear combination of the. In exercises 14 15, show that vectors. is a basis for. , and express p as a linear combination of the basis.
