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
+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
$$i + {{j\left( {j - 1} \right)} \over 2}$$
3
GATE CSE 1987
+2
-0.6
A square matrix is singular whenever:
A
The rows are linearly independent
B
The columns are linearly independent
C
The row are linearly dependent
D
None of the above
4
GATE CSE 1987
+2
-0.6
If a, b and c are constants, which of the following is a linear inequality?
A
ax + bcy = 0
B
$$a{x^2}\, + \,c{y^2} = 21$$
C
$$abx\, + \,{a^2}y\, \ge \,15$$
D
$$xy\, + \,ax\,\, \ge \,20$$
GATE CSE Subjects
EXAM MAP
Medical
NEET