Matematika

Pertanyaan

dketahui matriks A=[5 2,2 1] , B=[6 1,-1 5] dan matriks C= B-A invers matriks C adalah

1 Jawaban

  • [tex] A = \left[\begin{array}{ccc}5&2\\2&1\\\end{array}\right] dan B = \left[\begin{array}{ccc}6&1\\-1&5\\\end{array}\right] [/tex][tex]C = B - A = \left[\begin{array}{ccc}6&1\\-1&5&\\\end{array}\right] - \left[\begin{array}{ccc}5&2\\2&1\\\end{array}\right] = \left[\begin{array}{ccc}1&-1\\-3&4\\\end{array}\right] [/tex]
    C^{-1} = [tex] \frac{1}{det C} [tex]\left[\begin{array}{ccc}4&1\\3&1\\\end{array}\right][/tex] =  [tex]\left[\begin{array}{ccc}4&1\\3&1\\\end{array}\right][/tex]
    Determinan C tidak saya tulis krn determinan C adl 1. Determinan C diperoleh dr 1.4 - (-1).3 = 1

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