Let A be a 3times*2 matrix. Explain why the equation Axequals=b cannot be consistent for all b in set of real numbers Rℝcubed3. Generalize your argument to the case of an arbitrary A with more rows than columns. Why is the equation Axequals=b not consistent for all b in set of real numbers Rℝcubed3 ?

Question

Mathematics

Guest

18 August, 08:34

Let A be a 3times*2 matrix. Explain why the equation Axequals=b cannot be consistent for all b in set of real numbers Rℝcubed3. Generalize your argument to the case of an arbitrary A with more rows than columns. Why is the equation Axequals=b not consistent for all b in set of real numbers Rℝcubed3 ?

+5

Answers (1)

Know the Answer?

Cohen Kerr · Answer 1

If we write the given matrix in a reduced row echelon form, it will have a minimum of one row comprising zeros. In addition, if we try to solve the expression Ax = b, the specific row will have an expression/equation compressing a zero on the left side of the expression/equation and nonzero values of b on the other side of the equation.

Step-by-step explanation:

If we write the given matrix in a reduced row echelon form, it will have a minimum of one row comprising zeros. In addition, if we try to solve the expression Ax = b, the specific row will have an expression/equation compressing a zero on the left side of the expression/equation and nonzero values of b on the other side of the equation.