MATH_C192_715_C_2007 - Birla Institute of Technology and Science Pilani I Semester 2007-2008 Mathematics II(Math C192 Comprehensive Examination

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Birla Institute of Technology and Science, Pilani I Semester 2007-2008 Mathematics II (Math C192) Comprehensive Examination: Closed Book Date: 13-12-07 Max. Marks: 80 Duration: 3 hours NOTE: 1. Answer Part A and Part B in separate answer books provided. 2. Write Part A/ Part B on the right top corner of the respective answer books. 3. Submit Part A and Part B separately. 4. Answer all sub parts of a question in sequence. 5. No partial credit will be given in question 1 of Part A and Part B. PART - A 1. (i) An n x n matrix A is nonsingular if and only if rank A = ____________________. (ii) If A is an n x n matrix, then rank A + nullity A = _________________________. (iii) If S = {v 1 , v 2 ,…. .v n } and T = { w 1 ,w 2 ,…. .w m } are bases for a vector space, then ____________________________________________________________________. (iv) Every superset of a linearly independent set is linearly independent (Yes/ No) ____________________________________________________________________. (v) The dimension of P
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This note was uploaded on 05/14/2010 for the course MATHEMATIC mathe taught by Professor Xyz during the Spring '10 term at Birla Institute of Technology & Science.

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MATH_C192_715_C_2007 - Birla Institute of Technology and Science Pilani I Semester 2007-2008 Mathematics II(Math C192 Comprehensive Examination

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