1
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ is any $$nxn$$ matrix and $$k$$ is a scalar then $$\left| {kA} \right| = \alpha \left| A \right|$$ where $$\alpha $$ is
A
$$kn$$
B
$${n^k}$$
C
$${k^n}$$
D
$${k \over n}$$
2
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
The number of terms in the expansion of general determinant of order $$n$$ is
A
$${n^2}$$
B
$$n!$$
C
$$n$$
D
$${\left( {n + 1} \right)^2}$$
3
GATE CE 1999
MCQ (Single Correct Answer)
+1
-0.3
The equation $$\left[ {\matrix{ 2 & 1 & 1 \cr 1 & 1 & { - 1} \cr y & {{x^2}} & x \cr } } \right] = 0$$ represents a parabola passing through the points.
A
$$(0, 1), (0, 2), (0, -1)$$
B
$$(0, 0), (-1, 1), (1, 2)$$
C
$$(1, 1), (0, 0), (2, 2)$$
D
$$(1, 2), (2, 1), (0, 0)$$
4
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
In matrix algebra $$AS=AT$$ ($$A,S,T,$$ are matrices of appropriate order) implies $$S=T$$ only if
A
$$A$$ is symmetric
B
$$A$$ is singular
C
$$A$$ is non singular
D
$$A$$ is skew - symmetric
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