Question: MATLAB question 2.16. The function pascal generates symmetric test matrices based on Pascals triangle. (a) How are the elements of pascal(n+1) related to the binomial

MATLAB question

2.16. The function pascal generates symmetric test matrices based on Pascals triangle. (a) How are the elements of pascal(n+1) related to the binomial coecients generated by nchoosek(n,k)? (b) How is chol(pascal(n)) related to pascal(n)? (c) How does condest(pascal(n)) grow with increasing order n? (d) What is det(pascal(n))? Why? (e) Let Q be the matrix generated by Q = pascal(n); Q(n,n) = Q(n,n) - 1; How is chol(Q) related to chol(pascal(n))? Why? (f) What is det(Q)? Why?

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