i) Find the solution space of the homogeneous system Ax = 0, that is N(A), the nullspace of A. ii) Find the basis and dimension of N(A). iii) What is dim(C(A)) + dim(N(A))? Explain by referring it to an appropriate theorem.

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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.