given the matrix A  = {(1, -2, -4, 3, -2 ), (0, 3, 9, -12, 12 ), (0, 0, 0, 0, 0), (0, 0, 0, 0, 0)} a. find the bases for the subspaces Col A , Row A and Nul A . justify your asnwers. b. Find dim(Col A), dim(Row A) and dim(Nul A) . justify your answers c. Find rank (A) and dim(Nul A)

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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.