Let A be an m n matrix, and let b Rm. a. Show that if u and v Rn are both solutions of

Problem 14

Let A be an  matrix, and let .

a. Show that if u and  are both solutions of Ax = b, then u v is a solution of Ax = 0.

b. Suppose u is a solution of Ax = 0 and p is a solution of Ax = b. Show that u + p is a solution of Ax = b.

                                                            Step -by-step solution

Step 1 of 4

a)

Given  is an  matrix and

Now we have  are both solution of

Then  and