5. Let A = {a1, a2, a3} and B= {b¡,b2, b3} be bases for a vector space V, and suppose a = 4b1 – b2, a, = -bị + b2 + b3, and az = b2 – 2b3. %3D a. Find the change-of-coordinates matrix from A to B. b. Find [x ], for x = 3a1 + 4a2 + a3.

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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.