Let u1 = (1, 1, 1)T , u2 = (1, 2, 2)T, and u3 = (2, 3, 4)T . (a) Find the transition matrix corresponding to the change of basis from {e1, e2, e3} to {u1, u2, u3}. (b) Find the coordinates of each of the following vectors with respect to the ordered basis {u1, u2, u3}. (i) (3, 2, 5)T (ii) (1, 1, 2)T (iii) (2, 3, 2)T

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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.