BSc IT Sem I 2015 2016 2016 Maths L Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Solve the following (any two)
   • a) Inversion Method If A= 4
   • b)Check given systems is consistent/inconsistent If it is consistent then find the af the Rank of Matrix by Normal form; 1) A= 3
   • d) Determine the linearly dependent ort depend ent of vectors
2. Q2 Solve the following (any two) Find the eigen values & eigen vectors the following })Prove that given matrix is orthogonal & hence find f Express the Skew-Hermintian as P+1Q if Check given matrix is Derogatory or Non — Derogatory A= Solve the following (any two)
   • b) solve
   • d) Check exact differential equation if dx Solve the following (any two )
   • d) Solve x +y=y*logx 7 tatio and find the scalar function
   • ( 1 ) st point (2, -1, 2) in the direction ant rthen show that a x (V — fd maxima and minima at following if f(x,y) = x? xy

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