Exercise 3 Let L be the line in R spanned by the vector u = Its orthogonal complement L is a plane in R. 1) Give an equation for the plane L. 2) Find an orthogonormal basis (52, b) for L. ()-- 3) Find the orthogonal projection of v = 2 on 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.