M={[x,y,z]} € R3 ; (y=x-3z) AND (z = 5x)}. Find out if M (R) is a subspace V3 (R). Justify your claim. Please, write a more specific procedure, so I can better understand solution steps. Thank you!

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.