If we use the normal equation method to solve the linear least square (LS) problems Ax=b, where the null space of A is empty. It may the following properties, [1] The matrix AHA is invertible; [2] The matrix AHA is singular [3] The LS solution is (AHA)-¹ (AHb). We can definitely say that: (a) (b) [1], [2], [3] are all correct Only [1], [2] are correct Only [1], [3] are correct [1], [2], [3] are all incorrect (d)
If we use the normal equation method to solve the linear least square (LS) problems Ax=b, where the null space of A is empty. It may the following properties, [1] The matrix AHA is invertible; [2] The matrix AHA is singular [3] The LS solution is (AHA)-¹ (AHb). We can definitely say that: (a) (b) [1], [2], [3] are all correct Only [1], [2] are correct Only [1], [3] are correct [1], [2], [3] are all incorrect (d)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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![If we use the normal equation method to solve the linear least square (LS) problems
Ax=b, where the null space of A is empty. It may the following properties,
[1] The matrix AHA is invertible; [2] The matrix AHA is singular
[3] The LS solution is (AHA)-1 (AHb). We can definitely say that:
(a)
(b)
[1], [2], [3] are all correct
Only [1], [2] are correct
Only [1], [3] are correct
[1], [2], [3] are all incorrect
(d)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a88efe9-a781-4379-b76b-6dfe1de2c124%2F3bd68795-7227-465e-87b7-f016ad834aaf%2Fgizrfn_processed.png&w=3840&q=75)
Transcribed Image Text:If we use the normal equation method to solve the linear least square (LS) problems
Ax=b, where the null space of A is empty. It may the following properties,
[1] The matrix AHA is invertible; [2] The matrix AHA is singular
[3] The LS solution is (AHA)-1 (AHb). We can definitely say that:
(a)
(b)
[1], [2], [3] are all correct
Only [1], [2] are correct
Only [1], [3] are correct
[1], [2], [3] are all incorrect
(d)
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