1
GATE CSE 1994
+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
$${(AB)^T} = {B^T}{A^T}$$
2
GATE CSE 1994
+1
-0.3
The number of distinct simple graph with upto three nodes is
A
15
B
10
C
7
D
9
3
GATE CSE 1994
+2
-0.6
In a compact single dimensional array representation for lower triangular matrices (i.e., all the elements above the diagonal are zero) of size $$n$$ $$x$$ $$n$$, non-zero elements (i.e., elements of the lower triangle) of each row are stored one after another, starting from the first row, the index of the $${\left( {i,\,j} \right)^{th}}$$ element of the lower triangular matrix in this new representation is
A
$${i+\,j}$$
B
$${i + j - 1}$$
C
$$j + {{i\left( {i - 1} \right)} \over 2}$$
D
$$i + {{j\left( {j - 1} \right)} \over 2}$$
4
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
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