dketahui matriks A=[5 2,2 1] , B=[6 1,-1 5] dan matriks C= B-A invers matriks C adalah
Matematika
azistea721
Pertanyaan
dketahui matriks A=[5 2,2 1] , B=[6 1,-1 5] dan matriks C= B-A invers matriks C adalah
1 Jawaban
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1. Jawaban anitaana
[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