Proof that R3 = W1 ⊕ W2, where W1 = {(x1, x2, x3) : x1 + x2 + x3 = 0} and W2 = Lin(1, 1, 1). Lin - space

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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.