Problem 2. basis sets for X: Let (X, R) be a linear space and let the following three finite sets be S. = {r1, 2,... , In}, S. = {T1,T2, ….., In}, and Ŝ, = {î1, î2, ….. ,ân}. If the representation of each vector in S, with respect to S, is given by the columns of the matrix P, and if the representation of each vector in Š, with respect to 5, is given by the columns of the matrix Q, explain how to determine the representation of each vector in S, with respect to Ŝ̟. %3D

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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.