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Introduction to Linear Algebra

Exercise 2.7.18

Answers

(a): $5 + 4 + 3 + 2 + 1 = 15$ independent entries if $S = S^{T}$ .
(b): $L$ has 10 and $D$ has 5 ; total 15 in $LD L^{T}$ .
(c): Zero diagonal if $A^{T} = - A$ , leaving $4 + 3 + 2 + 1 = 10$ choices.

mathchakra

2022-01-16 12:26

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