The columns of A are n vectors from Rm. If they are linearly independent, what is the rank of A? If they span Rm, what is the rank? If they are a basis for Rm, what then? Looking ahead: The rank r counts the number of __ columns.

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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.