asked in 科學數學 · 8 years ago

有關線性代數 非平凡解

我有一題題目是

(s-3)x + y = 0

x + (s-3)y = 0

問 s 等於多少時

have nontrivial solutions??

2 Answers

Rating
  • 8 years ago
    Favorite Answer

    │(s-3).....1...│ = 0 時,

    │...1.....(s-3)│

    即 (s-3)^2 = 1 時,有 nontrivial solutions

    (s-3)^2 = 1

    (s-3) = +/- 1

    s = 4 or 2

  • 8 years ago

    等於4和2時是trivial solutions

    其餘都是nontrivial solutions

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