https://file.aiquickdraw.com/mathbot/file/172672011124242bo17wv.jpg

Here are the results of the matrix multiplications:

a) \( BC \) is:
\[
\begin{bmatrix}
138 & 205 & 208 & 82 \\
236 & 391 & 308 & 132 \\
383 & 473 & 528 & 213
\end{bmatrix}
\]

b) \( CA^T \) (where \( A^T \) is the transpose of matrix \( A \)) is:
\[
\begin{bmatrix}
205 & 337 & -3 & 574 \\
243 & 22 & 168 & 114 \\
121 & 101 & 37 & 172 \\
170 & 73 & 95 & 160
\end{bmatrix}
\]

Would you like more details on the calculation or any further explanation?

Here are 5 related questions:
1. What are the dimensions of matrices \( BC \) and \( CA^T \)?
2. What conditions must be satisfied for matrix multiplication to be valid?
3. How do you find the transpose of a matrix?
4. Can you multiply two matrices of different dimensions?
5. What is the role of matrix multiplication in solving systems of linear equations?

**Tip:** When multiplying matrices, the number of columns in the first matrix must equal the number of rows in the second matrix.

Given matrix A, B, and C, calculate matrix product: BC and CA^T.

Learn how to multiply matrices A, B, and C to find BC and CA^T. This problem involves matrix multiplication and transpose, suitable for Grade 11-12 linear algebra students.

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