Recent content by cylers89

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    MHB Solving for Unit Vectors in U Given Vector 1 and Matrix S

    So I am given the vector 1...but I need to find vector 2 and 3, in order to find U=(v1, v2, v3), and U is a unitary matrix. Vector 1 is: (1/2+1/2i 1/2 1/2i)^T The example from my notes shows me how to find U, but I am also given a matrix S to start with... Any clue where to start?
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    MHB Matrix Theory....showing that matrix is Unitary

    Okay, that makes sense. I do remember covering that in class. So I also know that BB*=(1-z1)(1+z1). So for the matrix, after I multiply V*V...row1column1 easily is substituted to 1, since z12+B*B = 1. Now I am getting tripped up on the canceling of row2column2 to 1. The first one is...
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    MHB Matrix Theory....showing that matrix is Unitary

    Let x be an element in space C be a given unit vector (x*x=1) and write x=[x,yT]T, where x1 is element in space C and y is element in Cn-1. Choose theta (element in space R) such that ei(theta)x1 greater than or equal to 0 and define z=ei(theta)x =[z1, BT]T, where z1 is element in R is non...
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