(c) For a normed space X, explain • The relation between a basis of X and the basis of its algebraic dual space. • Consider the normed space R³ with the basis e1 = (0, 1, –1), e2 = (1,0, –1) and ez = (-1,1,1). Then find the basis of dual space of R³. %3D

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Q: 6. Let V = R³ and F = R. Let W = { (a, b, c) | a+b-2c=0 where a, b, c are in R} It can be shown that…

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Q: 3) li) Find the dual basis {l, l} of the standard basis of IR". (i) Fiod th

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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.