(Fatec-SP) Sejam as matrizes?
A=[4 2]
[2 1] e
B=[1 0]
[0 1] resolver a equação
det (A- x.B)= 0,com x E R.
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A=[4 2]
[2 1] e
B=[1 0]
[0 1] resolver a equação
det (A- x.B)= 0,com x E R.
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Verified answer
x.B =
x ... 0
0 ...x
A - x.B =
4-x .... 2-0
2-0 .... 1-x
det(A-x.b) = (4-x).(1-x) - 4 =0
4-4x-x+x² -4 =0
x²-5x=0
x=0 ou x=5