How do I solve for column vector from a matrix

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Suma
Suma 2014-3-6
回答： Jos (10584) 2014-3-7
Hello,
I want to find column matrix [a1 a2]'
[a1 a2]'*[a1 a2] = [1 0; 1 0];
how do I do that?
thanks
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Suma
Suma 2014-3-6
notice that [a1 a2]' is a column vector and [a1 a2] a row vector which are being multiplied
Matt J
Matt J 2014-3-6
编辑：Matt J 2014-3-6
Yep. In addition to being symmetric, the left hand side expression is also rank 1. That means the right hand side would at least have to have those same properties.

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回答（1 个）

Jos (10584)
Jos (10584) 2014-3-7
(1) [a ; b] * [a b] = [a*a a*b ; b*a b*b] % by definition
(2) [a ; b] * [a b] = [1 0 ; 1 0] % by request
=> b*b = 0 => b is 0
b*a = 1 => b is not 0
Impossible!

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