Let V be the set of all ordered pairs of real numbers with addition and scalar multiplica operations defined as follows on V : for u=(uj,u2) and v=(v1,vɔ) inV u+v= (u,,u2) + (v1,v2) = (u1 + V1 +2,u2 + v2 – 1) and ku= k(u,,u2) = (ku̟ +2k- 2,kuz – k+ 1). This forms a vector space. Complete the following: 2(1, – 1) + (2,3) =(a,b) The zero vector,0 =(c,d) a= b= C= d=

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Q: a= b= C= id=

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Q: z+1

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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.