Question

Im doing a problem set that asks if the equations in a list are linaer: x - 5y + (2z)^(1/2)=1 and others...but I´v read several time that an equation to be linear all its variables must be elevated to the first power (not squared variables or roots for them for instance). The book says that is linear. How could that be since one term is the squere root of (2*z)?

Answer 1

It's not linear. It sounds like a typo in the book.

Answer 2

btw, linear means variables are not multiplied
for example
x*y= 1
is not linear even though both variables x and y are to the first power.

Answer 3

ok thank you very much. That is what I thought first but there were 2 examples in the problem set with the same mistake.

The texbook is from Howard anton (Introduction to Linear Algebra)

Again thanks...

Answer 4

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