Re: [中學] 矩陣一題

[Honor1984 (奈何上天造化弄人？)]

※ 引述《night72 (Raxaday)》之銘言：
: 請教各位先進這題
: https://i.imgur.com/J04UHNw.jpg

(a-b)X + b(X + Y) = A

=> X = (1/(a-b)) [1 - b    -  1]
                 [  2     4 - b]

a(X + Y) + (b - a)Y = A

=> Y = (-1/(a - b)) [1 - a   -1  ]
                    [  2    4 - a]

-XY = O

=> a + b = 5

   (1 - b)(1 - a) - 2 = 0

=> ab  = 6

=> (a, b) = (3, 2)


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