Q61
Which of the following is the recurrence relation for the matrix chain multiplication problem where mat[i-1] * mat[i] gives the dimension of the ith matrix?
A.
dp[i,j] = 1 if i=j
dp[i,j] = min{dp[i,k] + dp[k+1,j]}
dp[i,j] = min{dp[i,k] + dp[k+1,j]}
B.
dp[i,j] = 0 if i=j
dp[i,j] = min{dp[i,k] + dp[k+1,j]}
dp[i,j] = min{dp[i,k] + dp[k+1,j]}
C.
dp[i,j] = 1 if i=j
dp[i,j] = min{dp[i,k] + dp[k+1,j]} + mat[i-1]*mat[k]*mat[j].
dp[i,j] = min{dp[i,k] + dp[k+1,j]} + mat[i-1]*mat[k]*mat[j].
D.
dp[i,j] = 0 if i=j
dp[i,j] = min{dp[i,k] + dp[k+1,j]} + mat[i-1]*mat[k]*mat[j].
Answerdp[i,j] = min{dp[i,k] + dp[k+1,j]} + mat[i-1]*mat[k]*mat[j].
Answer: Option D
Solution
Answer: Option D
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