It can be shown that W is a subspace of V. (You do not have to check this.) (a) Find a basis for W and cxplain why it is a basis. (b) What is the dimension of 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.