1
GATE CSE 2016 Set 2
Numerical
+2
-0
Let $${A_1},\,{A_2},\,{A_3}$$ and $${A_4}$$ be four matrices of dimensions $$10 \times 5,\,5 \times 20,\,20 \times 10,$$ and $$10 \times 5,$$ respectively. The minimum number of scalar multiplications required to find the product $${A_1}{A_2}{A_3}{A_4}$$ using the basic matrix multiplication method is _________.
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2
GATE CSE 2016 Set 2
Numerical
+2
-0
The value of the expression $${13^{99}}$$ ($$mod$$ $$17$$), in the range $$0$$ to $$16,$$ is ______________ .
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3
GATE CSE 2016 Set 1
Numerical
+2
-0
Consider the recurrence relation $${a_1} = 8,\,{a_n} = 6{n^2} + 2n + {a_{n - 1}}.$$ Let $${a_{99}} = K \times {10^4}.$$ The value of $$K$$ is ____________.
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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 $${a_n}$$?
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
$$2a_{n - 2} + 2a_{n - 1} + 2^{n - 2}$$
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