1
GATE PI 1994
MCQ (Single Correct Answer)
+1
-0.3
The value of the following determinant $$\left[ {\matrix{ 1 & 4 & 9 \cr 4 & 9 & {16} \cr 9 & {16} & {25} \cr } } \right]$$ is
A
$$8$$
B
$$12$$
C
$$-12$$
D
$$-8$$
2
GATE PI 1994
True or False
+1
-0
The matrix $$\left[ {\matrix{ 1 & { - 4} \cr 1 & { - 5} \cr } } \right]$$ is an inverse of the matrix $$\left[ {\matrix{ 5 & { - 4} \cr 1 & { - 1} \cr } } \right]$$
A
TRUE
B
FALSE
3
GATE PI 1994
MCQ (Single Correct Answer)
+1
-0.3
For the following matrix $$\left[ {\matrix{ 1 & { - 1} \cr 2 & 3 \cr } } \right]$$ the number of positive characteristic roots is
A
one
B
two
C
four
D
cannot be found
4
GATE PI 1994
MCQ (Single Correct Answer)
+1
-0.3
Given matrix $$L = \left[ {\matrix{ 2 & 1 \cr 3 & 2 \cr 4 & 5 \cr } } \right]\,\,$$ and $$M = \left[ {\matrix{ 3 & 2 \cr 0 & 1 \cr } } \right]$$
then $$L \times M$$ is
A
$$\left[ {\matrix{ 8 & 1 \cr {13} & 2 \cr {22} & 5 \cr } } \right]$$
B
$$\left[ {\matrix{ 6 & 5 \cr 9 & 8 \cr {12} & {13} \cr } } \right]$$
C
$$\left[ {\matrix{ 1 & 8 \cr 2 & {13} \cr 5 & {22} \cr } } \right]$$
D
$$\left[ {\matrix{ 6 & 2 \cr 9 & 4 \cr 0 & 5 \cr } } \right]$$
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