1
GATE CSE 1994
MCQ (Single Correct Answer)
+2
-0.6
Some group (G, o) is known to be abelian. Then, which one of the following is true for G?
A
$$g = {g^{ - 1}}\,$$ for every $$g\, \in \,G$$.
B
$$g = {g^{ 2}}\,$$ for every $$g\, \in \,G$$.
C
$${(goh)^2} = \,{g^2}\,o\,\,{h^2}$$ for every g, $$h\, \in \,G$$.
D
G is of finite order.
2
GATE CSE 1994
MCQ (Single Correct Answer)
+1
-0.3
The rank of the matrix $$\left[ {\matrix{ 0 & 0 & { - 3} \cr 9 & 3 & 5 \cr 3 & 1 & 1 \cr } } \right]$$ is
A
$$0$$
B
$$1$$
C
$$2$$
D
$$3$$
3
GATE CSE 1994
Fill in the Blanks
+1
-0
The inverse of the matrix $$\left[ {\matrix{ 1 & 0 & 1 \cr { - 1} & 1 & 1 \cr 0 & 1 & 0 \cr } } \right]$$ is
4
GATE CSE 1994
MCQ (Single Correct Answer)
+2
-0.6
If A and B are real symmetric matrices of size n x n. Then, which one of the following is true?
A
$$A{A^t} = I$$
B
$$A = A - 1$$
C
AB = BA
D
$${(AB)^T} = {B^T}{A^T}$$