diketahui matriks A=[-2 3, 1 2] dan I matriks identitas tentukan : A2 - 2A+1
Matematika
anissa119
Pertanyaan
diketahui matriks A=[-2 3, 1 2] dan I matriks identitas tentukan : A2 - 2A+1
1 Jawaban
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1. Jawaban v1r4
A2 - 2A + I
= [-2 3] x [-2 3] - 2[-2 3] + [1 0]
[1 2] [1 2] [1 2] [0 1]
= [(-2).(-2) + 3.1 (-2).3 + 3.2] - [-4 6 ] + [1 0]
[ 1.(-2) + 2.1 1.3 + 2.2 ] [2 4] [0 1]
= [4 + 3 (-6) + 6] - [-4 6] + [1 0]
[( -2)+2 3 + 4 ] [2 4] [0 1]
= [7 0] - [-4 6] + [1 0]
[0 7] [2 4] [0 1]
= [12 -6]
[ -2 4]