1
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
$${\left( {n + 1} \right)^2}$$
2
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
3
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ is a real square matrix then $$A{A^T}$$ is
A
un symmetric
B
always symmetric
C
skew - symmetric
D
some times symmetric
4
GATE CE 1998
MCQ (Single Correct Answer)
+1
-0.3
The real symmetric matrix $$C$$ corresponding to the quadratic form $$Q = 4{x_1}{x_2} - 5{x_2}{x_2}$$ is
A
$$\left[ {\matrix{ 1 & 2 \cr 2 & { - 5} \cr } } \right]$$
B
$$\left[ {\matrix{ 2 & 0 \cr 0 & { - 5} \cr } } \right]$$
C
$$\left[ {\matrix{ 1 & 1 \cr 1 & { - 2} \cr } } \right]$$
D
$$\left[ {\matrix{ 0 & 2 \cr 2 & { - 5} \cr } } \right]$$
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