Jump to content

Calculating a determinant of specific matrix


Recommended Posts

The inverse of the matrix on the right is a known "constant" matrix, depending on the six parameters. Is it known what it is? You appear to assume that it is invertible, how you do know it?   

Link to comment
Share on other sites

Induction, absolutely. But even that will not work unless the statement is true. And in a case like \(a_0=a_1=a_2=k=l=m=0\) the inverse of the determinant on the right does not exist. I am asking about the condition to ensure that the equation in the OP makes sense at all. 

Link to comment
Share on other sites

  • 5 weeks later...
On 3/18/2020 at 8:56 PM, taeto said:

Induction, absolutely. But even that will not work unless the statement is true. And in a case like a0=a1=a2=k=l=m=0 the inverse of the determinant on the right does not exist. I am asking about the condition to ensure that the equation in the OP makes sense at all. 

Hi, yeah it definitely makes sense, this is a problem from an old exam so there must be a solution for sure

Edited by mathodman
Link to comment
Share on other sites

If there exists a solution for sure, then there has to be an assumption which says, or implies, that the matrix on the right hand side of the equation is invertible. Something is missing from your original explanation which allows us to make such a determination. 

Link to comment
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
 Share

×
×
  • Create New...

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.