4/24/2021
Prelim Exam: Attempt review
Home / My courses / UGRD-MATH6330-2033T / Week 4: Preliminary Examination / Prelim Exam
Started on Saturday, 24 April 2021, 5:06 PM
State
Finished
Completed on Saturday, 24 April 2021, 5:14 PM
Time taken 8 mins 5 secs
Grade 23.00 out of 30.00 (77%)
Question 1
Correct
Mark 1.00 out of 1.00
Using the Maclaurin series expansion of cos(x) , when x =
will give an approximate value of 0.6073 using the first two terms only.
Select one:
True 
False
Question 2
Incorrect
Mark 0.00 out of 1.00
The commutative property also exist in matrices.
Select one:
True 
False
Question 3
Correct
Mark 1.00 out of 1.00
The essential features of a physical system or process in mathematical terms should be carried out in the formulation of a mathematical
model.
Select one:
True 
False
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Prelim Exam: Attempt review
Question 4
Correct
Mark 1.00 out of 1.00
Rate of growth of errors are needed to be identified, especially when dealing with iterative methods as this might affect the solution in
general.
Select one:
True 
False
Question 5
Correct
Mark 1.00 out of 1.00
One of the advantages of using mathematical modeling is the ability to predict an output given a certain input.
Select one:
True 
False
Question 6
Correct
Mark 1.00 out of 1.00
In mathematical modeling, a physical system is translated into mathematical expressions in order to be implemented in computers.
Select one:
True 
False
Question 7
Correct
Mark 1.00 out of 1.00
Matrix multiplication may proceed if the number of columns of the 1st matrix is equal to the number of rows of the 2nd one.
Select one:
True 
False
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Prelim Exam: Attempt review
Question 8
Incorrect
Mark 0.00 out of 1.00
Approximating calculations which involve infinite value, most often used in series notations and in calculus doesn't introduce errors.
Select one:
True 
False
Question 9
Correct
Mark 1.00 out of 1.00
The value of
is
Select one:
a. a negative value

b. has an absolute value of less than 1
c. a positive value
d. zero
Your answer is correct.
Question 10
Correct
Mark 1.00 out of 1.00
The determinant of the given matrix is equal to |D| = 27.
Select one:
True 
False
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Prelim Exam: Attempt review
Question 11
Correct
Mark 1.00 out of 1.00
If A is a 3 x 3 matrix and B is a 3x2 matrix , the statement “ A – B is not possible” is
Select one:
True 
False
Question 12
Incorrect
Mark 0.00 out of 1.00
Which of the following is not true in finding the determinant of a matrix?
Select one:
a. It doesn’t work with non-square matrix.
b. Coefficients from systems of linear equations may form a matrix and could be used for finding the determinant.
c. The operation between the matrices also takes an alternate sign of negative first then positive.
d. No correct answer

Your answer is incorrect.
Question 13
Correct
Mark 1.00 out of 1.00
The relative error is related to the approximate value rather than to the exact value because the true value may not be known.
Select one:
True 
False
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Prelim Exam: Attempt review
Question 14
Incorrect
Mark 0.00 out of 1.00
The approximate value of f(x) = e x using the first five terms of the Maclaurin Series center at when x = 1, c =0 is
Select one:
a. 2.525
b. 2.656
c. 2.708
d. 2.803

Your answer is incorrect.
Question 15
Correct
Mark 1.00 out of 1.00
The determinant of the given matrix is?
Select one:
a. 2
b. No correct answer

c. 5
d. 4
Your answer is correct.
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Prelim Exam: Attempt review
Question 16
Incorrect
Mark 0.00 out of 1.00
The absolute error of the function f(x) = e x when the the true value of f(x) = 2.718281828 compared to the approximated value of using the
first five terms of the Maclaurin Series center at when x = 1, c =0 is _____.
Select one:
a. 8.83 x10-3

b. 3.35 x10-3
c. 6.67 x10-3
d. 9.95 x10-3
Your answer is incorrect.
Question 17
Incorrect
Mark 0.00 out of 1.00
When the exact value is π = 3.14159265359 and the relative error is given as 0.001, the approximate value is ____________.
Select one:
a. 3.141706813
b. 3.141906813
c. 3.141890681
d. 3.141606813

Your answer is incorrect.
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Prelim Exam: Attempt review
Question 18
Correct
Mark 1.00 out of 1.00
Which of the following shows A + B ?
Select one:
a.

b. No correct answer
c.
d.
Your answer is correct.
Question 19
Correct
Mark 1.00 out of 1.00
The determinant of the given matrix is D = |-5|.
Select one:
True
False 
Question 20
Correct
Mark 1.00 out of 1.00
In creating a computer algorithm one important factor that should be considered is that the user would be prompted the values that are
needed in solving.
Select one:
True 
False
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Prelim Exam: Attempt review
Question 21
Correct
Mark 1.00 out of 1.00
Perform floating point addition of 3.1 x 10 -1 and 12.25 x 10 1. If only 3 significant figures are allowed for mantissa, determine the percent
accuracy of the result.
Select one:
a. 89.72 %
b. 99.88 %
c. 99.01 %
d. 99.72 %

Your answer is correct.
Question 22
Correct
Mark 1.00 out of 1.00
Interpreting the results graphically is one advantages of using software systems in numerical methods.
Select one:
True 
False
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Prelim Exam: Attempt review
Question 23
Correct
Mark 1.00 out of 1.00
Which of the following is true about A x B?
Select one:
a. All of the answers correct.
b. The resulting matrix, A x B is a 2 x 4 matrix.
c. Matrix multiplication is not possible.

d. A x B is the same as B x A.
Your answer is correct.
Question 24
Correct
Mark 1.00 out of 1.00
Which of the following is true about A - B?
Select one:
a. All of the answers correct.
b. Subtraction of matrices is not possible.

c. A - B is the same as B - A.
d. The resulting matrix A - B is a 3 x 2 matrix.
Your answer is correct.
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Prelim Exam: Attempt review
Question 25
Correct
Mark 1.00 out of 1.00
Suppose a computing machine can only display up to 4 decimal places. Assuming that the true value of π is 3.14159265359. Using an
approximate value of πa = 3.1416 Calculate the absolute error and the relative error.
Select one:
a. ɛa = 7.1126 x 10-7, %ɛ = 2.8124 x 10 -6
b. ɛa = 7.28754 x 10-7, %ɛ = 2.2264 x 10 -6
c. ɛa = 7.346410 x 10-7, %ɛ = 2. 3384 x 10 -6

d. ɛa = 7.4132 x 10-7, %ɛ = 2.8243 x 10 -6
Your answer is correct.
Question 26
Correct
Mark 1.00 out of 1.00
The matrix defined as
is an upper triangular matrix
Select one:
True
False 
Question 27
Incorrect
Mark 0.00 out of 1.00
The inverse of A which is a 3 x 2 matrix is A -1 = 2 x 3 matrix.
Select one:
True 
False
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Prelim Exam: Attempt review
Question 28
Correct
Mark 1.00 out of 1.00
For practical reasons, the absolute error is usually more meaningful than the relative error.
Select one:
True
False 
Question 29
Correct
Mark 1.00 out of 1.00
Which of the following is true about A x B?
Select one:

a. The resulting matrix A x B is a 3 x 2 matrix.
b. All of the answers correct.
c. A x B is the same as B x A.
d. Matrix multiplication is not possible.
Your answer is correct.
Question 30
Correct
Mark 1.00 out of 1.00
In floating point addition, where the exponent of the smaller number must match that of the larger number making 3.141516 x 101 and
2.125 x 102 expressed in 3 digit precision as 0.314 x 102 and 2.13 x 102
Select one:
True 
False
◄ W3: Lesson 3 - Systems of Linear Equation - Video Lecture
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W5: Lesson 3 - Systems of Linear Equations (Part 2) - Module ►
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