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2. ) ( 3 MARKS ) Let a and b' be two nonzero vectors in a Euclidean Space . Then Praj(10 0)b equals . (

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2. ) ( 3 MARKS ) Let a and b' be two nonzero vectors in a Euclidean Space . Then Praj(10 0)b equals . ( a ) 10 ( projab') ( b ) I ( Projal b ) ( c ) Projob ( d ) Rajab ( e ) None of these ll Projab'll3.) ( 3 MARKS ) Let A be a 3x3 matrix whose row vectors are a , bic . If a = 36 - 42 ( a) IAl=o (b)IAl = 3 ( ) 1A1 = - 4 ( d)IAl = - 1 ( e ) None of these4 ) ( 3 MARKS ) Let A be a 110 x 210 row echelon matrix and denote the rank of A by r (A ) . Assume that A has only 10 zer now . Then .. . ( a) r (A) = 200 ( b) r (A) = 160 ( c)r ( A ) = 110 ( ) r (A) 4100 ( e ) None of these5) ( 3 Marks ) Find all values of x such that the matrix - is not invertible A= 1 - 1 X ( a ) 0 andl ( b ) - I and ( c ) - I and! ( d ) land 2 ( e ) None of thesePart 1 Multiple choice 1/ For each of the following clearly mark the box corresponding to the correct answer and enter your answer of each question to the bubble sheet . Only answers to multiple - choice questions on the bubble sheet will be given credit . 1.) ( 3 MARKS ) Assume that vectors at b' and a - 1 are Parallel. Then ( a )i and b are orthogonal . ( bla and bo are parallel. ( c ) a and b are not parallel . ( ) lla'll = 1/b'll ( e ) None of these

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