2010m2 - M ETU Department of Mathematics MATH 260 SECOND...

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M Department ETU of Mathematics b) (10 pts.) Compute the dimension of the vector subspace V : span{( -L,2,9,0), (5,4,9,0), (3, 1,0,0)} of lRa. I -; i : ; I t;- G,,", ?r""l'-3. y g ffi 4 j', ; bJ fferLu + 3 oi wu"L' oo o) MATH 260 SECOND MIDTERM EXAM Date :22.11.2010 Time :17.10 Duration : 10A min. Name Student ID Section Signature 3 Quetions on 4 Pages 100 Points SHOW YOUR WORK 1\- Q.1. (30 pts) a) (5 pts.) Show that the foliowing functions x,I*8, r* sin"r, fro - t, and r*coszs defined on IR are linea.rly dependent. x + ( t tx) -(x a sfr'*) - fi,n bsux) =a, (g,t.r6*)=11'=o /",*(V) =z c) (15 pts.) Find a basis for the row space of ,4 and find the dimension of the row space of .4. [-To tooav lo t -,t o lv l6o zo t f'r lszs: t J" lll;llffiEil\\lH' {(, ot or) , b , -t t o) ,(ooz sr), - ), (ooo' '\ l3* et2 t,\ d,t*q-h9ruh
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q.2. (35 pts.) a) (SaS-10 pts.) Evaluate the following determinants (no pa.rtial credits will be given for an incorrect numericai answer to the question Q.2.a)): z ( I 12042
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This note was uploaded on 04/09/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

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2010m2 - M ETU Department of Mathematics MATH 260 SECOND...

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