M-221 Midterm: Montana State MATH 221 Exam2Summer14TH

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7 Mar 2019
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T r s t ~x = ~xp + ~xh r ~xp s rt r rt ~xh s t s rt s t t ~xp r (a) ~xh (a) . T s s ss s r st t s t t r3 = (r (a)) ( (a)) r (a) (a) . ~x = ~xr + ~xn, r ~xr r (a) ~xn (a) Rst t t r s t ~x = ~xp + ~xh . R t t ~xp 6 r (a) s t t ~xp ~xh 6= 0 . Q t rs ~xr r (a) ~xn (a) s t t ~x = ~xr + ~xn . S t s rt s t t ~ xp r (a) ~ xh (a) r st t ~ xp ~ xh . S t r t pr ss r r s t rt s s {~v1, ~v2, ~v3} u .