To find out what it means, solve :

war*peace=whatever

@ geometry dash lite: Hello, I think I can give you solution:

Given the equation for the matrix $A$:

We can rewrite this as:

This can be interpreted as a quadratic matrix equation. Let's denote $c=p+q$, so we have:

We can treat this as a characteristic polynomial of $A$:

To find the determinant $|A-I{|}^{-1}$ (assuming it exists), we first need to determine the eigenvalues of $A$. The eigenvalues $\lambda$ of $A$ satisfy the characteristic polynomial:

Using the quadratic formula, the eigenvalues are given by:

Next, we are interested in $|A-I|$. The eigenvalues of $A-I$ are ${\lambda }_i-1$ for each eigenvalue ${\lambda }_i$ of $A$. Therefore, the eigenvalues of $A-I$ are:

The determinant $|A-I|$ can be computed as the product of the eigenvalues of $A-I$:

Now, simplifying each term:

1. First Eigenvalue:

   $$\frac{c+\sqrt{c^2+4r}}{2}-1=\frac{c-2+\sqrt{c^2+4r}}{2}$$

2. Second Eigenvalue:

   $$\frac{c-\sqrt{c^2+4r}}{2}-1=\frac{c-2-\sqrt{c^2+4r}}{2}$$

Thus, we can combine these to find $|A-I|$: