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Amt 2 - 3 Find a basis of U and hence find dim U Q.2(i Set...

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BIRLA INSTITUTE OF TECHNOLOGY & SCIENCE, PILANI II Semester 2005-2006, Math C 192 Mathematics II Assignment sheet for Quiz II Page 93 Q.1(a), (c) Q 2 (b) Page 94 Q.3 (a) , (d) Q.4 (e) Page 104 Q.1 (a) , (d) Q.2 (d), (f) Q.1 (i) If ( 29 { / , , 2 1 3 2 1 + - = x x x x x x U is a sub space of V 3 . Find a basis of U and hence find, dim U. (ii) If ( 29 { 3 / , , 2 1 3 2 1 - + = x x x x x x U is a sub space of V

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Unformatted text preview: 3 . Find a basis of U and hence find, dim U. Q.2 (i) Set ( 29 ( 29 ( { 2 , 1 , , 3 , 5 , , 1 , 1 , , 2 , 3 = S be a set in V 4 . Is [S] = V 4 .? Find dim [S]. (ii) Set ( 29 ( 29 ( { 1 , 1 , 1 , 3 , 1 , , 1 , 1 , , 1 , 3--= S be a set in V 4 . Is [S] = V 4 .? Find dim [S]....
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