TRUE OR FALSE In each case, explain or prove your answer. Let {u1, u2}, {v1, v2}, and {w1,w2}, be bases for R2. If X is the transition matrix corresponding to a change of basis from {u1, u2} to {v1, v2} and Y is the transition matrix corresponding to a change of basis from {v1, v2} to {w1,w2}, then Z = XY is the transition matrix corresponding to the change of basis from {u1, u2} to {w1,w2}.

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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.