The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v1, v2, and v3 because 0 = 0v1 + 0v2 + 0v3. This is the trivial solution. Find a nontrivial way of writing 0 as a linear combination of the three vectors, if possible.v1 = (1, 0, 1), v2 = (−1, 1, 2), v3 = (0, 1, 3)

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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.