Week 8

Question 1

Consistent (unique) solution in terms of P(A)

Answer 1

P(A l b) = P(A) = n

Question 2

Inconsistent solution in terms of P(A)

Answer 2

P(A l b) = n+1
P(A) = n

Question 3

3 solution flat in terms of P(A)?

Answer 3

P(A) = n-3
P(A l b) = n-3

Question 4

If nxn matrix and full row and column rank?

Answer 4

-ax = 0 only solution is x=0
-Inverse of a exists
-ax=b has a unique solution
-det A does not equal 0
RREF = I