Answer to Question #187897 in Linear Algebra for sabelo Zwelakhe Xu

Question #187897

Find all values of lemth€C such that lemth(1+2i, 5+4i) =(3+2i, 6-i)

Expert's answer

if "lemth \\in C,lemth=a+bi"

(a+bi)(1+2i)=(a-2b)+(2a+b)i=3+2i

a=1.4,b=-0.8.

(1.4-0.8i)(5+4i)=(7+3.2)+(5.6-4)i=10.2+1.6i not equal 6-i

answer:empty set

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