Data Structures Algorithms-II MCQs

Page No. 88

Which of the following is the binary representation of 100?


a1010010


b 1110000


c 1100100


d1010101


View Answer 1100100

Is Coppersmith-Winograd algorithm better than Strassen’s algorithm in terms of time complexity?


aTrue


bFalse


cA & B


dNone of these


View Answer True

What is the time complexity of the fastest known matrix multiplication algorithm?


aO(nlog7)


bO(n2.37)


cO(n3)


d O(n!)


View Answer O(n2.37)

If Matrix X is of order A*B and Matrix Y is of order C*D, and B=C then the order of the Matrix X*Y is A*D?


aTrue


b False


cA & B


dNone of these


View Answer True

Matrix A is of order 3*4 and Matrix B is of order 4*5. How many elements will be there in a matrix A*B multiplied recursively.


a12


b15


c16


d20


View Answer 15

How many recursive calls are there in Recursive matrix multiplication by Strassen’s Method?


a 5


b7


c8


d4


View Answer 7

What is the time complexity of matrix multiplied recursively by Strassen’s Method?


aO(nlog7)


bO(n2)


cO(n3)


d O(n!)


View Answer O(nlog7)

What is the time complexity of matrix multiplied recursively by Divide and Conquer Method?


aO(n)


bO(n2)


cO(n3)


dO(n!)


View Answer O(n3)

How many recursive calls are there in Recursive matrix multiplication through Simple Divide and Conquer Method?


a2


b6


c9


d8


View Answer 8

If Matrix A is of order X*Y and Matrix B is of order M*N, then what is the order of the Matrix A*B given that Y=M?


aY*N


bX*M


cX*N


dY*M


View Answer X*N

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