Nlcofc123 Nlcofc123
  • 28-08-2021
  • Mathematics
contestada

(b) Given that
6 7 -1
3 n 5
9 11 n

Where Q is a non-invertible matrix, determine the value of n?

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caylus
caylus caylus
  • 28-08-2021

Answer:n=-2 or n=4

Step-by-step explanation:

Q is not inversible if det(Q)=0

[tex]\left|\begin{array}{ccc}6&7&-1\\3&n&5\\9&11&n\end{array}\right| =0\\\\\\\\6(n^2-55)-3(7n+11)+9(35+n)=0\\\\n^2-2n-8=0\\\\\Delta=36=6^2\\\\n=\dfrac{2-6}{2} =-2\ or\ n=\dfrac{2+6}{2}=4\\[/tex]

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