Suppose that S = {v1, v2, v3} is a linearly %3D independent set of vectors in a vector space V. Prove that T = {w1, w2, w3} is also linearly independent, where w1 = v1 + v2 + v3, w2 = v2 + v3, and w3 = v3 %3D www w

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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.