The dimension of the row space of a 3 × 5 matrix A is 2.(a) What is the dimension of the column space of A?(b) What is the rank of A?(c) What is the nullity of A?(d) What is the dimension of the solution space of the homogeneous system Ax = 0?

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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.