Answer:
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-5)
Step-by-step explanation:
Given:
The given matrix is.
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D)
the determinant of the above matrix is.
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=2\times (-4) - (-3)\times 1](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D2%5Ctimes%20%28-4%29%20-%20%28-3%29%5Ctimes%201)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 - (-3)](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-8%20-%20%28-3%29)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-8 +3](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-8%20%2B3)
![\left[\begin{array}{ccc}2&-3\\1&-4\end{array}\right]=-5](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C1%26-4%5Cend%7Barray%7D%5Cright%5D%3D-5)
Therefore, the determinant of the matrix is -5
Rounding it off to the nearest tenth means rounding it off to the first decimal place . so the answer is 6.8
The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.
The answer is 15%
hope it helps
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