anonymous
  • anonymous
[1 -2 3 x] For what value of x in this matrix is there no inverse?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathmale
  • mathmale
Hint: consider the matrix\[\left[ \left[\begin{matrix}a & b \\ c & d\end{matrix}\right] \right]\]
mathmale
  • mathmale
If ab = cd, the matrix does not have an inverse (due to division by zero).
mathmale
  • mathmale
Use this fact to determine the value of x.

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anonymous
  • anonymous
I'm sorry, I still don't understand.
anonymous
  • anonymous
u still need help?
anonymous
  • anonymous
yes please
anonymous
  • anonymous
ok remember a metrix does not have an inverse if the determinant is equal to 0 right?
anonymous
  • anonymous
Right
anonymous
  • anonymous
now to elaborate more on what mathmale had stated above.. If ab = cd, the matrix does not have an inverse. in your case 1 times x=? 3 times -2=-6 so then 1 times -6=-6
anonymous
  • anonymous
now try to find the determinant what do you get
anonymous
  • anonymous
so x=-6 ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
u know how to find the determinant?
anonymous
  • anonymous
yes I do, I found the determinant is 0 so that means x=-6. So the main goal is to get the determinant to equal 0?
anonymous
  • anonymous
yes
mathmale
  • mathmale
Note that "ad=bc" is equivalent to "the determinant is 0."
anonymous
  • anonymous
okay thank you!
mathmale
  • mathmale
magepker728, your clarifications were very good.
anonymous
  • anonymous
thanks @mathmale

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