anonymous
  • anonymous
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Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@freckles
anonymous
  • anonymous
@Directrix
amistre64
  • amistre64
what does it mean for a matrix to be singular?

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amistre64
  • amistre64
and for that matter, what does A and B have to do with B^* being singular?
anonymous
  • anonymous
a matrix is singular iff its determinant =0
anonymous
  • anonymous
and im not sure
anonymous
  • anonymous
it was 2 parts of the question part A was to find AB part A was this part
amistre64
  • amistre64
right, so we need the determinant of the 3x3 to be 0 ... how far have you gotten?
amistre64
  • amistre64
.... by working the determinant process id imagine. of course, for a 3x3 i do the shortcut process similar to a 2x2
anonymous
  • anonymous
ok
anonymous
  • anonymous
i only know to do the 2x2 so far
amistre64
  • amistre64
the shortcut on a 3x3 is to copy the first 2 columns onto the end, and multiply the diagonals
amistre64
  • amistre64
write down the values of ab and c ... where do abc come from?
anonymous
  • anonymous
idk that what the question ask
amistre64
  • amistre64
you say this question is part of another one?
anonymous
  • anonymous
thats the whole question
amistre64
  • amistre64
and you sure that when you drew it up ... you made the correct entries? with pq and r?
anonymous
  • anonymous
yep thats exactly whats there
amistre64
  • amistre64
well im out of ideas on how to make this sensible then lol.
amistre64
  • amistre64
i can make an equation of a plane with pqr as variables ... but ive got no idea how that helps in finding some rather ambiguous abc values.
anonymous
  • anonymous
@amistre64
anonymous
  • anonymous
@amistre64
amistre64
  • amistre64
have you worked the determinant?
anonymous
  • anonymous
6(8c-8b)+2a(32)
amistre64
  • amistre64
and when we set that equal to 0 we get an infinite number of solutions .... all the points in a plane. are they wanting the solution set, or something more concrete?
amistre64
  • amistre64
(a,b,c) = (3,3,-1) is a solution, since that makes the last column the same as the first (a,b,c) = (0,2,2) is a solution, since that makes the last column the same as the second and any linear combination of the first 2 columns would be a solution as well
amistre64
  • amistre64
6x +0y = 2a 6x+4y = 2b -2x+4y = 2c
anonymous
  • anonymous
o ok
anonymous
  • anonymous
can it = to 0,0,0 also?
amistre64
  • amistre64
yes it can :) let x=0 and y=0
anonymous
  • anonymous
ok thanks
amistre64
  • amistre64
youre welcome

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