How to calculate the Cartesian equations of a vector subspace from a generator system. Vector spaces

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Starting from a generator system of a subspace, we obtain its Cartesian equations.
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It was indeed very useful and clear, it helped me on Hyperplanes and equations. Thank you!!

hjweejr
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excellent explanation...Easy to understand.... Thanks a lot sir...

ranjankumarmahapatra
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thank you so much prof, could you please tell me how to find basis for the equation

EjazAhmed-pftz