Let D= {d1,d2, d3} and F= {f1, f2, f3} be bases for vector space V, and suppose f1 = 2d1 – d2 + d3,  f2 = 3d2 + d3, and f3 = –d1+ 2d3. a) Find the change-of-coordinates matrix from F to D and from D to F b)Find [x]d  for x = f1 – 2f2 + f3

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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.