It looks like you're working on a Grade 11 assignment that involves decoding messages using matrices for cryptography. The task requires you to decode a message using the inverse of a coding matrix and submit your work in Toddle. The assessment is based on several criteria, including presentation, mathematical communication, personal engagement, reflection, and correct application of mathematical procedures.

Here’s a quick breakdown of the steps you’ll likely need to follow:

1. Set up the Coding Matrix: You should have a matrix that was used to encode the message. This matrix is necessary for the decoding process.
2. Find the Inverse Matrix: Use the formula for matrix inversion (if the matrix is invertible) to find the inverse of the coding matrix. The inverse will be used to decode the message.
3. Decode the Message: Multiply the encoded message by the inverse of the coding matrix to retrieve the original message.
4. Submit and Reflect: Include a reflection on how linear algebra (specifically matrices) applies to real-world cryptography, touching on efficiency and accuracy.

Would you like assistance with matrix inversion, the decoding process, or reviewing your work according to the rubric provided?

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Here are five questions to deepen your understanding:

1. What properties must a matrix have to be invertible in cryptographic applications?
2. How does matrix multiplication apply to encoding and decoding messages?
3. What real-world encryption systems use matrices and linear algebra?
4. How can you check if the inverse matrix you calculated is correct?
5. What alternative methods can you use to decode a message if the matrix is not invertible?

Tip: Ensure your matrix is invertible by checking that its determinant is non-zero before trying to find the inverse!