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1;;x ng be an ordered basis for V Let Q= (Q ij) be an n ninvertible matrix with entries in F De ne x0 j = i=1 Q ijx i for 1 j nand set 0= fx0 1;;x0 n g Prove that 0is a basis for V and hence that Qis the change of coordinate matrix changing 0coordinates into coordinates Solution By applying the isomorphism x 7!x 1, it su cesA t l as I n e x c o P r i v ac y P o l i c y T h i s p r i v a c y n oti c e d i sc l oses th e p r i v a c y p r a c ti c es f or w w w a tl a si n ex c o c om T h i s p r i v a c y n oti c e a p p l i es sol el y to i n f or m a ti on c ol l ec ted b y th i s w eb si te_ C X L N X v X hM ^ L p h ԁiJAN R h j ̃y W ł B i 4 `5 c Ɠ ȓ ɔ ܂ i y j j B DCM I C ̓A X y b g( ) ̌ p h w z Z ^ ʔ̃T C g ł BDCM I C ł̓y b g p i E t h ͂ ߂Ƃ A 34 _ ̏ i 舵 Portuguese Orthography Wikipedia ƒ}ƒCƒNƒ‰ƒXƒLƒ" ƒ}ƒCƒNƒ‰ •ÇŽ† ‚©‚í‚¢‚¢