Solution

Elementary Linear algebra

Chapter 1.1

Exercise 2

(a)

The equation $2^{\frac{1}{3}}x+\sqrt{3}y=1$ is linear in $x$ and 

(b)

The equation is not linear.

(c)

The equation $\cos\left(\frac{\pi}{7}\right)x-4y=\log 3$ is linear in $x$ and $y$.

Linear.

(d)

The equation is not linear.

(e)

The equation is not linear.

(f)

The equation is linear.