Anya will have 5cm of candy sorry if it’s
Wrong
Answer:
The message is S E C R E T A G E N T M A N
Step-by-step explanation:
This is a very easy exercise, follow the steps taken below:
Step 1: Find ![A^{-1}](https://tex.z-dn.net/?f=A%5E%7B-1%7D)
![A = \left[\begin{array}{ccc}1&2\\1&3\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%5C%5C1%263%5Cend%7Barray%7D%5Cright%5D)
Note that If ![M = \left[\begin{array}{ccc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=M%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D)
then ![M^{-1} = \left[\begin{array}{ccc}a&-b\\-c&a\end{array}\right]](https://tex.z-dn.net/?f=M%5E%7B-1%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26-b%5C%5C-c%26a%5Cend%7Barray%7D%5Cright%5D)
Therefore, ![A^{-1} = \left[\begin{array}{ccc}3&-2\\-1&1\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-2%5C%5C-1%261%5Cend%7Barray%7D%5Cright%5D)
Step 2: Find A⁻¹B ( i.e product of A and B)
![B = \left[\begin{array}{cccccccc}29&39&45&2&17&54&26&29\\34&57&65&3&22&74&39&43\end{array}\right]](https://tex.z-dn.net/?f=B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7D29%2639%2645%262%2617%2654%2626%2629%5C%5C34%2657%2665%263%2622%2674%2639%2643%5Cend%7Barray%7D%5Cright%5D)
![A^{-1} B = \left[\begin{array}{ccc}3&-2\\-1&1\end{array}\right] \left[\begin{array}{cccccccc}29&39&45&2&17&54&26&29\\34&57&65&3&22&74&39&43\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%20B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-2%5C%5C-1%261%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7D29%2639%2645%262%2617%2654%2626%2629%5C%5C34%2657%2665%263%2622%2674%2639%2643%5Cend%7Barray%7D%5Cright%5D)
![A^{-1}B = \left[\begin{array}{cccccccc}19&3&5&0&7&14&0&1\\5&18&20&1&5&20&13&14\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7DB%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccc%7D19%263%265%260%267%2614%260%261%5C%5C5%2618%2620%261%265%2620%2613%2614%5Cend%7Barray%7D%5Cright%5D)
Step 3: Decode the message in the matrix above
The message will be decoded in this order:
Note that 0 stands for empty space
19 5 3 18 5 20 0 1 7 5 14 20 0 13 1 14
S E C R E T A G E N T M A N
The message encoded is: S E C R E T A G E N T M A N
The answer is true because they are both positive numbers