(b) Let V be an n-dimensional F-vector space, and let 0 < k < n. If K is a k- dimensional subspace of V and I is an n-k dimensional subspace of V, show Im f = I. and

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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.