1. Simultaneous Linear Equations

2. The name of the person in the picture is
A$AP Rocky
Kid Cudi
MC Hammer
T.I.
Vanilla Ice

3. The size of matrix is 10

4. The c32 entity of the matrix
6.3
does not exist 10

5. Given
then if [C]=[A]+[B], c12= 6 12 10

6. Given
then if [C]=[A]-[B], c23= -3 3 9

7. then if [C]=[A][B], then c31= .
Given
then if [C]=[A][B], then c31=
-57
-45 57
does not exist 10

8. A square matrix [A] is lower triangular if10

9. A square matrix [A] is upper triangular if

10. An example of upper triangular matrix is
none of the above

11. An example of lower triangular matrix is
none of the above

12. An identity matrix [I] needs to satisfy the following
matrix is square
all of the above 10

13. Given then [A] is a matrix. diagonal identity lower triangular
upper triangular

14. is diagonally dominant if
A square matrix
is diagonally dominant if

15. The following system of equations x + y=2 6x + 6y=12 has solution(s).no
one
more than one but a finite number of
infinite 10

16. PHYSICAL PROBLEMS

17. Truss Problem

18. Pressure vessel problema b c a b

19. Polynomial Regression
We are to fit the data to the polynomial regression model

20. END

21. Simultaneous Linear Equations Gaussian Elimination (Naïve and the Not That So Innocent Also)

22. The goal of forward elimination steps in Naïve Gauss elimination method is to reduce the coefficient matrix to a (an) _________ matrix.
diagonal
identity
lower triangular
upper triangular

23. One of the pitfalls of Naïve Gauss Elimination method is
large truncation error
large round-off error
not able to solve equations with a noninvertible coefficient matrix

24. Increasing the precision of numbers from single to double in the Naïve Gaussian elimination method
avoids division by zero
decreases round-off error
allows equations with a noninvertible coefficient matrix to be solved

25. Division by zero during forward elimination steps in Naïve Gaussian elimination for [A][X]=[C] implies the coefficient matrix [A]
is invertible
is not invertible
cannot be determined to be invertible or not

26. Division by zero during forward elimination steps in Gaussian elimination with partial pivoting of the set of equations [A][X]=[C] implies the coefficient matrix [A]
is invertible
is not invertible
cannot be determined to be invertible or not

27. Using 3 significant digit with chopping at all stages, the result for the following calculation is

28. Using 3 significant digits with rounding-off at all stages, the result for the following calculation is

29. Simultaneous Linear Equations LU Decomposition

30. You thought you have parking problems
You thought you have parking problems. Frank Ocean is scared to park when __________ is around.
A$AP Rocky
Adele
Chris Brown
Hillary Clinton

31. Truss Problem

32. Determinants
If a multiple of one row of [A]nxn is added or subtracted to another row of [A]nxn to result in [B]nxn then det(A)=det(B)
The determinant of an upper triangular matrix [A]nxn is given by
Using forward elimination to transform [A]nxn to an upper triangular matrix, [U]nxn. 32

33. If you have n equations and n unknowns, the computation time for forward substitution is approximately proportional to 4n
4n2
4n3

34. If you have a nxn matrix, the computation time for decomposing the matrix to LU is approximately proportional to
8n/3
8n2/3
8n3/3

35. LU decomposition method is computationally more efficient than Naïve Gauss elimination for solving
a single set of simultaneous linear equations
multiple sets of simultaneous linear equations with different coefficient matrices and same right hand side vectors.
multiple sets of simultaneous linear equations with same coefficient matrix and different right hand side vectors

36. For a given 1700 x 1700 matrix [A], assume that it takes about 16 seconds to find the inverse of [A] by the use of the [L][U] decomposition method. Now you try to use the Gaussian Elimination method to accomplish the same task. It will now take approximately ____ seconds. 4 64
6800
27200

37. For a given 1700 x 1700 matrix [A], assume that it takes about 16 seconds to find the inverse of [A] by the use of the [L][U] decomposition method. The approximate time in seconds that all the forward substitutions take out of the 16 seconds is 4 6 8 12

38. The following data is given for the velocity of the rocket as a function of time. To find the velocity at t=21s, you are asked to use a quadratic polynomial v(t)=at2+bt+c to approximate the velocity profile. t
(s) 14 15 20 30 35 v
m/s
227.04
362.78
517.35
602.97
901.67

39. Three kids-Jim, Corey and David receive an inheritance of $2,253,453
Three kids-Jim, Corey and David receive an inheritance of $2,253,453. The money is put in three trusts but is not divided equally to begin with. Corey’s trust is three times that of David’s because Corey made and A in Dr.Kaw’s class. Each trust is put in and interest generating investment. The total interest of all the three trusts combined at the end of the first year is $190, The equations to find the trust money of Jim (J), Corey (C) and David (D) in matrix form is

40. THE END

41. 4.09 Adequacy of Solutions

42. coefficient matrix only right hand side vector only number of unknowns
The well or ill conditioning of a system of equations [A][X]=[C] depends on the
coefficient matrix only
right hand side vector only
number of unknowns
coefficient matrix and the right hand side vector

43. The condition number of a n×n diagonal matrix [A] is

44. condition number of the coefficient matrix machine epsilon
The adequacy of a simultaneous linear system of equations [A][X]=[C] depends on (choose the most appropriate answer)
condition number of the coefficient matrix
machine epsilon
product of the condition number of coefficient matrix and machine epsilon
norm of the coefficient matrix

45. If
, then
in [A][X]=[C], at least these many significant digits are correct in your solution, 1 2 3

46. THE END

47. Consider there are only two computer companies in a country
Consider there are only two computer companies in a country. The companies are named Dude and Imac. Each year, company Dude keeps 1/5th of its customers, while the rest switch to Imac. Each year, Imac keeps 1/3rd of its customers, while the rest switch to Dude. If in 2003, Dude had 1/6th of the market and Imac had 5/6th of the marker, what will be share of Dude computers when the market becomes stable?
37/90
5/11
6/11
53/90

48. Is how much you are loaded up related to test score?

49. Final Grade vs Test#1 Grade

50. You know Lady Gaga; Who is Shady Gaga
Lady Gaga’s sister
A person who looks bad with their sunglasses on
A person who looks good with sunglasses but bad once he/she takes the sunglasses off
That is what Alejandro calls Lady Gaga 10

51. The name of the person in the picture is
Yung Joc
Kid Cudi
T.I.
MC Hammer

52. Kanye West is a genius except
He grabbed Taylor Swift’s mike at the VMAs
Has diamonds drilled to his bottom teeth
Sings about Mama’s boyfriend
All of the above

53. Example of a Poem Boom Boom Pow, That is how
I feel when I come to class,
Glad that I have a lot of mass.
I need to integrate my work and life,
Differentiate between love and strife,
Interpolate when my friend whines,
Isn’t that same as reading between the lines?

54. This Kiss – Faith Hill
It's a feeling like this It's centrifugal motion It's perpetual bliss It's that pivotal moment It's, ah unthinkable This kiss, this kiss Unsinkable This kiss, this kiss