复数M满足(-1+根号3i)M=根号3/2+(1/2)i,则｜M｜=?
问题描述：
复数M满足(-1+根号3i)M=根号3/2+(1/2)i,则｜M｜=?
答
M
=(√3/2+(1/2)i)/(-1+√3i)
=(1/2)(√3+i)(-1-√3i)/4
=-(√3+i)(1+√3i)/8
=-(√3+i+3i-√3)/8
=-4i/8
=-(1/2)i
|M|
=1/2
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