Let 8= {b,,b2} and C= {c1.c2} be bases for a vector space V, and suppose b, = -9c, +8c2 and b, = - 3c, + 7c2. a. Find the change-of-coordinates matrix from B to C. b. Find (x]c for x= 3b, - 6b2. Use part (a).

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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.