1
GATE CSE 2015 Set 2
Numerical
+2
-0
Perform the following operations on the matrix $$\left[ {\matrix{ 3 & 4 & {45} \cr 7 & 9 & {105} \cr {13} & 2 & {195} \cr } } \right]$$
(i) Add the third row to the second row
(ii) Subtract the third column from the first column.

The determinant of the resultant matrix is _________.

2
GATE CSE 2015 Set 1
+2
-0.6
Consider the following $$2 \times 2$$ matrix $$A$$ where two elements are unknown and are marked by $$a$$ and $$b.$$ The eigenvalues of this matrix ar $$-1$$ and $$7.$$ What are the values of $$a$$ and $$b$$?
$$A = \left( {\matrix{ 1 & 4 \cr b & a \cr } } \right)$$
A
$$a=6, b=4$$
B
$$a=4, b=6$$
C
$$a=3, b=5$$
D
$$a=5,b=3$$
3
GATE CSE 2015 Set 1
Numerical
+2
-0
$$\sum\limits_{x = 1}^{99} {{1 \over {x\left( {x + 1} \right)}}}$$ = _____________.
4
GATE CSE 2015 Set 1
+2
-0.6
Let $${a_n}$$ represent the number of bit strings of length n containing two consecutive 1s. What is the recurrence relation for $${a_n}$$?
A
$$a_{n - 2} + a_{n - 1} + 2^{n - 2}$$
B
$$a_{n - 2} + 2a_{n - 1} + 2^{n - 2}$$
C
$$2a_{n - 2} + a_{n - 1} + 2^{n - 2}$$
D
$$2a_{n - 2} + 2a_{n - 1} + 2^{n - 2}$$
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
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