Consider an n-dimensional vector space (V, R), that is, there are up to n eleme.ts of V that can form a subset that is linearly independent over R. Let s - {vi,..., v,} C V with 4 < r < n be such that S is linearly independent over R. Determine, if possible, if W = {v1 + v2, v3 – vs} is linearly independent over R.

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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.