Friday, December 9, 2016

LINEAR ALGEBRA AND COMPLEX ANALYSIS [S3] KTU B TECH MODEL QUESTIONS |QUESTION PAPER PATTERN | IMPORTANT QUESTIONS FOR SECOND YEAR STUDENTS | QUESTION BANK


APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY 


PART A



( Answer All Questions Each carries 15 Marks )


1 a) If f (z) is an analytic function with constant modulus , then prove that f (z) is a constant.
b). If w=Φ+iΨ represents the complex potential of an electric field and
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2
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3

3   a. Find the bilinear transformation which maps the point -1, i, 1 of the z-plane  on to the points 1,i,-1  Of  the w-plane respectively
b. Show that under the transformation 

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, the real axis in the z-plane is mapped into the  circle │w│=1.

PART B
(Answer any TWO, Each carries 15 Marks)

4.
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5.
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6.                        a.
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                             b.
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PART C

(Answer All Questions Each Carries 20 Marks)

7  a. Express v=(2,7,-4) in R3 as a linear combination of the u1=(1,2,0), u2=(1,3,2)  and u3=(0,1,3)  (10 mark)
b.Diagonalize the matrix (10 mark)   LINEAR ALGEBRA AND COMPLEX ANALYSIS [S3] KTU B TECH MODEL QUESTIONS |QUESTION PAPER PATTERN | IMPORTANT QUESTIONS FOR  SECOND YEAR STUDENTS | QUESTION BANK,ktu linear algebra important questions,linear algebra  ktu btech questions,linear algebra previous questions,linear algebra  questions,ktu linear algebra  questions,ktu s1,ktu s2,ktu s1 s2 linear algebra ,ktu linear algebra  questions,ktu complex analysis important questions,complex analysis ktu btech questions,complex analysis previous questions,complex analysis questions,ktu complex analysis questions,ktu s1,ktu s2,ktu s1 s2 complex analysis,complex analysis Important Questions,ktu linear algebra  and complex analysis important questions,linear algebra  and complex analysis ktu btech questions,linear algebra  and complex analysis previous questions,linear algebra  and complex analysis questions,ktu linear algebra  and complex analysis questions,ktu s1,ktu s2,ktu s1 s2 linear algebra  and complex analysis,ktu linear algebra  and complex analysisquestions,ktu linear algebra  and complex analysis important questions
8 a. Find the rank and then find the basis for the row space and column space

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 b. Are the following sets of vectors linearly independent?
[4  -1   3], [ 0   8    1],  [ 1   3   -5],[2   6   1]       (5 mark)

 9 a. Solve the linear system by Gauss elimination method. (10 mark)
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b. Find Eigen values and Eigenvectors of the following Matrix (10 mark)
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