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Question 1
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Question
The matrix
can be described as
A symmetric
B skew-symmetric
C neither of these
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Answer
-
-
-
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Question 2
|
Question
Given that
X
and
Y
are two invertible 3×3 matrices, we may simplify
to obtain
A X2 + YX + XY + Y2
B X2 + 2XY + Y2
C both A and B
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Answer
-
-
-
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Question 3
|
Question
Select the next sensible row operation to perform on the augmented matrix
A R2 « R3
B R3-5R2® R3
C R3-R1® R3
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Answer
-
-
-
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Question 4
|
Question
A sequence of elementary row operations leads to
We should now
A let x3 = s, x4 = t
B let x3 = t
C stop. No solution
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Answer
-
-
-
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Question 5
|
Question
If
A
and
B
are
3×3
matrices which are identical except that each corresponding element in the first row of
B
is four times that in
A,
then
det B
equals
A 4 det A
B det A
C none of these
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Answer
-
-
-
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Question 6
|
Question
If
A
and
B
are
3×3
matrices which are identical except that each corresponding element in the first column of
B
is five times that in
A,
then
det B
equals
A 5 det A
B det A
C none of these
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Answer
-
-
-
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Question 7
|
Question
If
A
and
B
are
3×3
matrices which are identical except that row 1 in
B
has been obtained by applying the elementary row operation
2R3-3R1
to
A,
then
det B
equals
A 2 det A
B -3 det A
C none of these
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Answer
-
-
-
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Question 8
|
Question
Which of the following vectors
|
x1 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
, x2 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
and x3 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
|
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are eigenvectors of
A x1 only
B x2 only
C x1 and x2
D x2 and x3
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Answer
-
-
-
-
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Question 9
|
Question
Which of the following vectors
|
x1 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
, x2 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
and x3 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
|
|
are eigenvectors of
A x1 only
B x2 only
C x1 and x2
D x2 and x3
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Answer
-
-
-
-
|
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Question 10
|
Question
Which of the following vectors
|
x1 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
, x2 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
and x3 = |
é
ê
ê
ê
ë
|
|
ù
ú
ú
ú
û
|
|
|
are eigenvectors of
A x1 only
B x2 only
C x1 and x2
D x2 and x3
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Answer
-
-
-
-
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Question 11
|
Question
Answer
-
-
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Question 12
|
Question
Answer
-
-
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Question 13
|
Question
6 / (1 + 9x2) = 6 / (1/9 + x2)
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Answer
-
-
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Question 14
|
Question
(2n + 2)! / (2n)! = (2n + 2)(2n + 1)
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Answer
-
-
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Question 15
|
Question
Answer
-
-
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