Question

Can you explain Householder and QR-decomposition with Householder reflectors? Could you explain it to me as if I know nothing?

          Can you explain Householder and QR-decomposition with Householder reflectors? Could you explain it to me as if I know nothing?
        

Added by Grace A.

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Can you explain Householder and QR-decomposition with Householder reflectors? Could you explain it to me as if I know nothing?
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Transcript

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00:01 So for this problem, we're asked to explain galilean transformations.
00:05 The idea for galilean transformations is that it's part of a sort of framework or concept called galilean relativity, which is related to the sort of intuitive concept of if i'm, if, pardon me, let me be careful about how i say this, if i'm walking away from you at one meter per second, and you are walking away, actually, let's say, we have one person in the middle, then one person walking to the left and one person walking to the right, while the person in the middle is staying stationary.
00:48 In this scenario, oh, and let's say we have one meter per second, one meter per second.
00:58 Then for person, i'll label these, a, b, and c, person a, looking at person c, would perceive person c or measure person c as moving away at two meters per second, even though person b in the center is going to be measuring both of them as moving at only one meter per second.
01:20 The idea being that the measured velocities are getting transformed by the fact that we have what are called different reference frames.
01:31 So, let's see here.
01:38 We have our reference frame, what we can call the s, the primed reference frame.
01:45 Call this guy s prime.
01:48 And we have another reference frame, s, x, y, and t.
02:00 And we have that in this case, one of the notes, this is describing here what's called the standard configuration for galilean transfer...
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