42,812 and 62,812! You just add and subtract 10,000 from 52,812 and you will get the answer! Hope this helps!
In order for the inverse to exist, the matrix cannot be singular, so we need to first examine the conditions for existence of the inverse.
Compute the determinant. The easiest way might be a cofactor expansion along either the first row or third column; I'll do the first.
![\begin{vmatrix}x&0&0\\0&1&0\\w&0&x\end{vmatrix}=x\begin{vmatrix}1&0\\0&x\end{vmatrix}=x^2](https://tex.z-dn.net/?f=%5Cbegin%7Bvmatrix%7Dx%260%260%5C%5C0%261%260%5C%5Cw%260%26x%5Cend%7Bvmatrix%7D%3Dx%5Cbegin%7Bvmatrix%7D1%260%5C%5C0%26x%5Cend%7Bvmatrix%7D%3Dx%5E2)
The matrix is then singular whenever
![x\neq0](https://tex.z-dn.net/?f=x%5Cneq0)
.
With this in mind, compute the inverse.
150 + 30 = 180, right? We need to find 180 on the other side.
180 - 2 = 178
178 / 4 = 44.5
The answer is most likely 44.5. Let me know if I am wrong,
You can just put the 10 over 1 and multiply across. Then simplify! Hope this helps (: