Let A be an m n matrix. Explain why the following are true: (a) Any vector x in Rn can
Chapter 5, Problem 12(choose chapter or problem)
Let A be an m n matrix. Explain why the following are true: (a) Any vector x in Rn can be uniquely written as a sum y + z, where y N(A) and z R(AT ). (b) Any vector b Rm can be uniquely written as a sum u+v, where u N(AT ) and v R(A). 1
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