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dxd Let LER be a lower triangular matrix. We wish to compute det(L) when d=66, and we have the options to use • the Leibniz formula, Laplace expansion, or Corollary 2.22. What is the minimal number of floating-point operations that we need? ● ● a. None of the results apply when L is lower triangular. O b. No cost. We can read the determinant directly off the matrix. c. 1 flop 8 flops

dxd Let LER be a lower triangular matrix. We wish to compute det(L) when d=66, and we have the options to use • the Leibniz formula, Laplace expansion, or Corollary 2.22. What is the minimal number of floating-point operations that we need? ● ● a. None of the results apply when L is lower triangular. O b. No cost. We can read the determinant directly off the matrix. c. 1 flop 8 flops

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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dxd Let LER be a lower triangular matrix. We wish to compute det(L) when d=66, and we have the options to use • the Leibniz formula, Laplace expansion, or Corollary 2.22. What is the minimal number of floating-point operations that we need? ● a. None of the results apply when L is lower triangular. b. No cost. We can read the determinant directly off the matrix. 1 flop C. d. e. O f. 8 flops 9 flops 65 flops g. 66 flops Oh. 65²+65-4290 flops O i. 66²+66-4422 flops
Transcribed Image Text:dxd Let LER be a lower triangular matrix. We wish to compute det(L) when d=66, and we have the options to use • the Leibniz formula, Laplace expansion, or Corollary 2.22. What is the minimal number of floating-point operations that we need? ● a. None of the results apply when L is lower triangular. b. No cost. We can read the determinant directly off the matrix. 1 flop C. d. e. O f. 8 flops 9 flops 65 flops g. 66 flops Oh. 65²+65-4290 flops O i. 66²+66-4422 flops
Corollary 2.22: determinants of lower triangular matrices The determinant of a lower triangular matrix L € Rd is given by d det (L) = Li i=1 (2.5) In particular, L is invertible if and only if we have Lii ‡0 for all i € {1,...,d}.
Transcribed Image Text:Corollary 2.22: determinants of lower triangular matrices The determinant of a lower triangular matrix L € Rd is given by d det (L) = Li i=1 (2.5) In particular, L is invertible if and only if we have Lii ‡0 for all i € {1,...,d}.
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