# matrices problemWatch

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#1
Question: The matrix M is given by M , where .
a)Find .
b)Given that and that b and c are non-zero, prove that M is singular.
c)Prove that in this case, the transformation T, is defined by
maps all points of the plane to points of the line

my attempt:

prove that M is singular

if matrix is singular then

thus we need to prove that

from 1

from 2

sub bc and d into

thus

since therefore M is singular

I need help with part c
Last edited by bigmansouf; 3 weeks ago
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#2
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3 weeks ago
#3
Couple of ways, but use the fact that the second column of M contains much of the info, given that you've already found a relationship between a and d. You can also use the det expression to get the equivalent relationship for c and consider the column space of the matrix.

(Original post by bigmansouf)
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Last edited by mqb2766; 3 weeks ago
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