In each part, determine whether the equation is linear in , , and . (a) (b)
A linear equation in the n variables to be one that can expressed in the form
Where and b are real constants .
Step 1 of 6
(a) Consider the equation
It is needed to determine whether the equation is linear or not in and .
Observe the equation does not involve any products or roots of the variables and .
It is in the form with , , and which are all real constants .
All variables occur only to the first power and do not appear as arguments for trigonometric,logarithmic,or exponential functions.
Therefore,the equation is a linear equation.
Textbook: Elementary Linear Algebra: Applications Version
Author: Howard Anton, Chris Rorres
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