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.
(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 _________.
Your input ____
2
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+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 $$b$$?
$$A = \left( {\matrix{ 1 & 4 \cr b & a \cr } } \right)$$
$$A = \left( {\matrix{ 1 & 4 \cr b & a \cr } } \right)$$
3
GATE CSE 2015 Set 1
Numerical
+2
-0
$$\sum\limits_{x = 1}^{99} {{1 \over {x\left( {x + 1} \right)}}} $$ = _____________.
Your input ____
4
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+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 $${a_n}$$?
Questions Asked from Linear Algebra (Marks 2)
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