Let e1, e2, 23 be the standard unit vectors along the coordinate axes in R³. Let S and T be the linear transformations defind in R³. Show that if S(हे.) = T(ढे), S(हे) %= T(टे>), S(टे:) = T(े ) S(टे) = T(े०), S(टे) %3 T(टे:) then S(7) = T(7) for any 7 e R³.

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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.