The linear operator L on R3 can be described by: L(e1) = e2, L(e2) = e3, L(e3) = e1 where e1, e2, e3 is the standard basis in R3. a) What is L ((x1, x2, x3)T)? b) Find the standard matrix representation of L, so that L(x) = Ax.. c) Find the kernel of L, ker L. Then find the range of L.

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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.