3. If A and B are finite dimensional, orthogonal subspaces of an inner product space V, then show dim(A O B) = dimA + dimB. If A and B are not necessarily orthogonal. then what is the relationship between dim(A+ B), dimA, and dim B? 4. (a) Let V, be the spaces generated hy

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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.