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Nicholas Kong

Confused about parameters in Linear Algebra

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My textbook says this "The solution set in the prior example is parametrized with y and w.


But the prior example solution set had:


{(2-2z+2w, -1 + z - w, z,w) | z,w E R }


The E means element of.

The R is the set of real numbers.


So I was confused by the textbook. Doesn't the book mean the solution set in the "current" example which has:


{(y,y,2-3w,w) | y ,w E R}


To me, the first solution set I post would be parametrized by z and w


The second solution set would be parametrized by y and w.


Am I not correct about those being the right parameters for the solution set?

Edited by warnexus

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