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Mathematics 9 Online
OpenStudy (steve816):

I need help with this.

OpenStudy (steve816):

At what value of x will this determinant be equal to 0 in mod 11? \[\large \left[\begin{matrix}4 & 4 \\ x & 8\end{matrix}\right]\]

OpenStudy (steve816):

So I know that 32 - 4x = 0 (mod 11) but I don't know how to calculate this with the modulus.

OpenStudy (avi13):

Here mod doesn't mean modulus. It mean remainder when divided by 11

OpenStudy (avi13):

Correct me if I am wrong...

OpenStudy (steve816):

Sorry, I just meant modular arithmetic

OpenStudy (amorfide):

work out x

OpenStudy (amorfide):

Amod(n)=r where r is the remainder of A divided by n

OpenStudy (amorfide):

14 mod 11 =r 14/11=1 remainder 3 r=3

OpenStudy (amorfide):

where r is the remainder

OpenStudy (avi13):

Yeah that's what I meant

OpenStudy (steve816):

Wait, I don't understand what you did :( Where did you get 14 from??

OpenStudy (amorfide):

I was using this as an example

OpenStudy (amorfide):

work out x first, then in Amod(n)=r let A be the answer of x n=11

OpenStudy (amorfide):

do x/11 then get the remainder (this should be a triple equal sign)

OpenStudy (steve816):

8/11 (mod 11) = 8 right?

OpenStudy (amorfide):

yes because 11 goes into 8, zero times, with a remainder of 8

OpenStudy (steve816):

ok ty, I need help with one more problem like this that is similar.

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