MAE101-PT2 UPDATED ACTUAL Exam Questions and CORRECT Answers

MAE101-PT2 UPDATED ACTUAL Exam
Questions and CORRECT Answers
Determine whether the matrix is in echelon form, reduced echelon form, or neither.
1 0 7 -7
0 1 1 -9

0 0 0 0 - CORRECT ANSWER - Reduced echelon form


Find all values of m so that the system
x+y+3z=m
-x+3y+2z=3

3x-y+4z=-1 - CORRECT ANSWER - all numbers but 1



A homogeneous linear system of 100 equations in 90 unknowns: - CORRECT ANSWER - is
never inconsistent and may have a unique solution


Find all values of a such that the system
has a non-trivial solution.
Select one:
a. None of the other choices is correct
b. 5
c. All numbers but -3
d. All numbers but 5

e. -3 - CORRECT ANSWER -5


Let A, B be matrices of size 4 x 4. Choose the correct statements:(i) (A-2B)T= AT-2BT(ii) If the
(2,3)-entry of A is 5 then the (3,2)-entry of AT is also 5(iii) (2A)T= 16(AT)
Select one:
a. (i), (iii)

,b. (i), (ii)
c. None of the other choices is correct
d. Only (i)

e. Only (ii) - CORRECT ANSWER - (i), (ii)


Which of the followings are true of A and B if AB is a column vector?
(i) B is a column vector
(ii) A is a row vector
(iii) the number of rows in A must equal the number of columns in B. - CORRECT
ANSWER - (i) only


Given . Find the sum of (3,1)-entry and (2,3)-entry of A -1
Select one:
a. 1/2
b. none of the other choices is true
c. 0
d. 1/3

e. 1 - CORRECT ANSWER - 1/2


Which of the following statements are true? (assume that all matrices are square matrices of the
same size).
(i) If A and B are invertible then AB-1 is also invertible and its inverse is BA-1
(ii) If A and B are invertible then AB-1 is also invertible and its inverse is A-1B
Select one:
a. (i) and (ii)
b. (i)
c. (ii)

d. None of them - CORRECT ANSWER - (i)

, Let be reflection in y = x followed by rotation through . Then T is:
Select one:
a. rotation through
b. Reflection in the Y axis
c. reflection in the X axis

d. None of the other choices is true - CORRECT ANSWER - Reflection in the Y axis


If abcdefghi=7, find 3a-5g g d ...
Select one:
a. -15
b. 34
c. -21

d. 25 - CORRECT ANSWER - -21


Let A be a square matrix. Choose correct statements:(i) det(-A) = -det(A)(ii) If A has two equal
rows, then det(A) = 0(iii) If det(A) = 0, then A has two equal row.
Select one:
a. (ii)
b. (iii)
c. None of the other choices is correct
d. (i) and (ii)

e. (i) - CORRECT ANSWER - (ii)


Let .Find the values of x so that A is invertible.
Select one:
a. -1
b. All numbers but 1