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
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
EXAM MAP
Joint Entrance Examination