Data Structures Algorithms-II MCQs

Page No. 49

Strassen’s Matrix Algorithm was proposed by _____________


aVolker Strassen


bAndrew Strassen


cVictor Jan


dVirginia Williams


View Answer Volker Strassen

What is the formula to calculate the element present in second row, first column of the product matrix?


a M1+M7


bM1+M3


cM2+M4 – M5 + M7


dM2+M4


View Answer M2+M4

Who discussed techniques for reducing the memory requirements for Strassen’s algorithm?


a Strassen


bLederman


cBailey


dHigham


View Answer Bailey

What is the recurrence relation used in Strassen’s algorithm?


a 7T(n/2) + Theta(n2)


b8T(n/2) + Theta(n2)


c7T(n/2) + O(n2)


d8T(n/2) + O(n2)



Who demonstrated the difference in numerical stability?


aStrassen


b Bailey


cLederman


dHigham


View Answer Higham

Given the program of naïve method


aZ[i][j] = Z[i][j] + X[i][k]*Y[k][j]


bZ[i][j] = Z[i][j] + X[i][k] + Y[k][j]


cZ[i][j] = Z[i][j] * X[i][k]*Y[k][j]


dZ[i][j] = Z[i][j] * X[i][k] + Y[k][j]



Running time of Strassen’s algorithm is better than the naïve Theta(n3) method.


aTrue


bFalse


cA & B


d None of the above


View Answer True

The number of scalar additions and subtractions used in Strassen’s matrix multiplication algorithm is ________


aO(n2.81)


bTheta(n2)


cTheta(n)


dO(n3)


View Answer Theta(n2)

Strassen’s matrix multiplication algorithm follows ___________ technique.


aGreedy technique


bDynamic Programming


cDivide and Conquer


dBacktracking


View Answer Divide and Conquer

What is the running time of naïve matrix multiplication algorithm?


aO(n2.81)


bO(n4)


cO(n)


dO(n3)


View Answer O(n3)

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