Determine whether the statement below is true or false. Justify the answer. Assume A is an mxn matrix and b is in RM. A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where b is the orthogonal projection of b onto Col A. Choose the correct answer below. O A. The statement is false. Since b is not the closest point in Col A to b, Ax = b is not necessarily consistent. O B. The statement is true. The equations Ax = b and Ax = b are equivalent. O C. The statement is false. The equations Ax = b and Ax = b are not equivalent. D. The statement is true. Since b is the closest point in Col A to b, Ax = b is consistent and x is such that Ax = b is a least-squares solution of Ax = b.

Determine whether the statement below is true or false. Justify the answer. Assume A is an mxn matrix and b is in RM. A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where b is the orthogonal projection of b onto Col A. Choose the correct answer below. O A. The statement is false. Since b is not the closest point in Col A to b, Ax = b is not necessarily consistent. O B. The statement is true. The equations Ax = b and Ax = b are equivalent. O C. The statement is false. The equations Ax = b and Ax = b are not equivalent. D. The statement is true. Since b is the closest point in Col A to b, Ax = b is consistent and x is such that Ax = b is a least-squares solution of Ax = b.

Name: See picture Determine whether the statement below is true or false. Ju
Uploaded: 2024-03-20T06:47:08.000Z
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Description: See picture Determine whether the statement below is true or false. Justify the answer. Assume A is an mxn matrix and b is in RM.A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where b is the orthogonal projection of b onto Co