MATH 18 Lecture 15: math18_lecture18
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. vn } is a basis of v then for each vector vev c. cn are called the coordinates of v relative to v. arty. vn } is a basis of v then for each vector vev c , + cnvn . i scalars write c , . cn are called the coordinates of v relative to v. V " nor ( concrete) provides an encoding of vectors in v ( abstract ) W={ wwwws are a three . dimensional bases of v. two vector space , and. + xzvz t x}v3 expansion of in basis v={ vi. v his } . + pa , wz + b ,w} ) + xz ( paw , , wz. ws } ( x , p , , + xzvz t x}v3 expansion of in basis v={ vi. v his } + pz , wz + b ,w} ) + xz ( p ,zw ,