Let A= {a1,a2,a3} and B= {b1,b2 b3} be bases for a vector space V, and suppose a, = 5b, - b2, a2 = -b, +b2 + b3, az = b2 – 4b3. a. Find the change-of-coordinates matrix from A to B. b. Find [x], for x= 3a, + 4a, + az. 5 - 1

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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.