2. Fill in the blanks. No explanations needed, but think carefully before answering!
(a) If Ax = b has no solution, then the closest vector to b in C(A) is (either a formula or a description in words is fine).
(b) If Ax = b has a solution x, then the closest vector to b in N(AT ) is
(c) Let xˆ be the least-squares solution to Ax = b. Then b − Axˆ is orthogonal to the
of A.linear
2. Fill in the blanks. No explanations needed, but think carefully before answering! (a) If Ax = b has no solution, then the closest vector to b in C(A) is. (either a formula or a description in words is fine). (b) If Ax = b has a solution a, then the closest vector to b in N(AT) is. (c) Let & be the least-squares solution to Ax = b. Then b- A is orthogonal to the of A.
2. Fill in the blanks. No explanations needed, but think carefully before answering! (a) If Ax = b has no solution, then
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