Solved: Let V be a Euclidean space, and IV a sub.>pace of V. Show that if WI. W2 ....

Chapter 5, Problem 28

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Let V be a Euclidean space, and IV a sub.>pace of V. Show that if WI. W2 ..... W, is a basis for IV and UI. U2 . .. .. U, is a basis for IV!. , then WI. W z .. Wr UI . U2 ... U s is a basis for V. lind thm dimV =dimIV+dimIV.i

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