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Unformatted text preview: in MHW, or have very unusual HW/MHW scores, this estimate is probably not very accurate. 1) { [1 / 2 1 0] T , [1 / 2 0 1] T } 2) The scalar projection of P onto the normal vector N = 9 / √ 6. 3a) As in the HW/MHW, you can ignore the e j part. The ﬁrst column of the answer is a 1 = [4 0 0] T , etc. 3b) From A = S1 BS , get SA = BS . From HW, we know N ( SA ) = N ( A ) so these two have the same nullity, the same width, thus the same rank. Now, show rank ( BS )= rank ( B ). Since the S is on the right, it is not true that N ( BS ) = N ( B ). So, you need a little trick (take the transpose ﬁrst, which doesn’t change the rank). 1...
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This note was uploaded on 12/26/2011 for the course MAS 3105 taught by Professor Julianedwards during the Spring '09 term at FIU.
 Spring '09
 JULIANEDWARDS

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