1
GATE CSE 2016 Set 2
Numerical
+1
-0
Suppose that the eigen values of matrix $$A$$ are $$1, 2, 4.$$ The determinant of $${\left( {{A^{ - 1}}} \right)^T}$$ is _______.
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2
GATE CSE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Let $${a_n}$$ be the number of $$n$$-bit strings that do NOT contain two consecutive $$1s.$$ Which one of the following is the recurrence relation for $${a_n}$$?
A
$${a_n} = {a_{n - 1}} + 2{a_{n - 2}}$$
B
$${a_n} = {a_{n - 1}} + {a_{n - 2}}$$
C
$${a_n} = 2{a_{n - 1}} + {a_{n - 2}}$$
D
$${a_n} = 2{a_{n - 1}} + 2{a_{n - 2}}$$
3
GATE CSE 2016 Set 1
Numerical
+1
-0
Two eigenvalues of a $$3 \times 3$$ real matrix $$P$$ are $$\left( {2 + \sqrt { - 1} } \right)$$ and $$3.$$ The determinant of $$P$$ is _______.
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4
GATE CSE 2015 Set 1
Numerical
+1
-0
In the LU decomposition of the matrix $$\left[ {\matrix{ 2 & 2 \cr 4 & 9 \cr } } \right]$$, if the diagonal elements of U are both 1, then the lower diagonal entry $${l_{22}}$$ of L is ________.
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