Suppose S and T are two subspaces of a vector space V.(a) Definition: The sum S + T contains all sums s + t of a vectors in S and a vector tin T. Show that S + T satisfies the requirements (addition and scalar multiplication) for a vector space.(b) If S and T are lines in Rm , what is the difference between S + T and S U T? That union contains all vectors from S or T or both. Explain this statement: The span of SU T is  S + T. (Section 3.5 returns to this word "span".)

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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.