Question

I don't exactly get the concept of "basic solution"?

For number 3(a), I don't get how "any of the last 4 columns are linearly dependent" and how x1 is the basic variable... I thought only the last 2 columns were linearly dependent and the first 3 columns are linearly independent. So I thought there would be 7 basic solutions having basic variables: {x1, x2, x4}, {x1, x2, x5}, {x2, x3, x4}, {x2, x3, x5}, {x1, x2, x3}, {x1, x3, x4}, {x1, x3, x5}.

Can someone please help me understand? I feel like I don't thoroughly get the concept of basic solution no matter how much I read about it.

Answer 1

ok