BSc CS Sem 4 BSc CS Semester 4 (2020 2021) 2020-21 Linear Algebra Using Python Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Which of the following condition is false for Row-echelon form?
   • a) All non-zero rows are above zero rows
   • b) All non-zero rows are below zero rows
   • c) The leading coefficient of non-zero rows must be to the right of leading coefficient of row above it
   • d) All elements in a column below leading coefficient is zero
2. Q2 The dot product of (2,2,4) and
3. Q3 Norm
4. Q4 Which of the following is not property for inner product space?
   • b) <x, x>=0 if and only if x =0
5. Q5 following statement is true for norm on a vector space
   • a) || Ax I x Il
   • c) Ax Il
6. Q6 The distance between (1, 3) and (9,1) is
7. Q7 The angle between the vectors (1, 1) and
   • a) 30 degree
   • b) 45 degree
   • c) 60 degree
   • d) 90 degree
8. Q8 Which of the following pair of vectors is orthogonal ?
   • a) Linear equation
   • b) Characteristic equation
   • c) Characteristic polynomial
   • d) Quadratic equation
9. Q10 In number z= x + iy, number
   • a) Purely irrational
   • b) Purely integer
   • c) Purely imaginary
   • d) Purely real
10. Q11 Modulus (absolute value) of
11. Q12 Any complex number multiply byi, rotate the complex
    • b) 180 degree
    • d) 360 degree
12. Q13 In GF(2) field, the value
    • d) Not defined
13. Q14 The vectors which lies along the same line or parallel lines are
    • a) Like vectors
    • b) Equal vectors
    • c) Position vectors
    • d) Collinear vectors
14. Q15 The dot product of (1,2,4)
15. Q16 A linear equation in the form AX=B, where 0 is called as
    • a) Linear system
    • b) Homogenous system
    • d) Saturated system
16. Q17 how many solutions does the equation have?
    • a) No solution
17. Q18 If (6,5,3) = + b (0,1,0) + c(0,0,1) then
18. Q19 If A and B are two matrices of same order and A(B+C) =(AB)+(AC), this law is known
    • a) Distributive law
    • b) Commutative law
    • c) Associative law
    • d) Crammer’s law
19. Q20 Set of all linear combination of vectors is called
    • a) Linear span
    • b) Linearly dependent
    • c) Linearly independent
    • d) Subspace
20. Q21 Which of the following set is linearly independent?
21. Q22 A non-empty subset W of V is said to be subspace if and only if
22. Q23 The weight of the word
23. Q24 If x= 1011 ,y=1011 thenx
24. Q25 If most of the element of a matrix have zero value is matrix
    • a) Sparse
    • b) Null
    • c) Nilpotent
    • d) Inverse

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