Exercise a) Find a basis of the following subspace of R U = y2, y, z E R and r+y+z = 0 b) Find a basis of the following subspace of R V - = y, y, z ER and 2r+y+z = 0 c) What is the span of UU V?

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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.