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1 0 -1 b1 Given A = 1 2 2 and b = 62 Use LO 2 4 63 the below theorem to determine of Ax = b if there is the solution for the equation for all possible b. Explain. 1.4. The Matrix Equation Theorem (For A being the coefficient matrix) Let A be an m x n matrix. Then the following statement are logically equivalent. That is, for a particular A, either they are all true statements or they are all false. a. For each b in RM, the equation Ax = b has a solution b. Each b in R' is a linear combination of the columns of A c. The column of A span Rm d. A has a pivot position in every row