## Discussion Forum

Que. | 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]} |

b. | dp[i,j] = 0 if i=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]. |

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]. |

Answer: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]. |