https://r2.erweima.ai/mathbot/image/1726919329099wl71wacw.jpg

The image contains three matrices \( A \), \( B \), and \( C \) and asks to compute the following:

1. \(-2A\)
2. \( A \times B \)
3. \( B \times A \)
4. \( A \times C \)
5. \( C \times A \)

Let me first define the matrices and perform the calculations for each operation.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you through the steps manually for solving the matrix operations. Would you like me to do that?

In the meantime, here are 5 related questions to explore:

1. What are the rules for matrix multiplication in terms of dimension compatibility?
2. How do scalar multiplications like \(-2A\) affect each element of matrix \(A\)?
3. What is the identity matrix, and how does it relate to matrix multiplication?
4. What are the properties of matrix addition and subtraction?
5. How can matrix operations be applied in solving systems of linear equations?

**Tip:** Always check matrix dimensions before attempting multiplication to avoid incompatibility.

Diketahui matriks A = [[-2, 1, 3], [3, 0, -2]], B = [[-1, 2], [3, 5]], dan C = [[-2, 0, 1], [3, -1, 2], [0, 4, 1]]. Tentukan hasil dari: -2A, A x B, B x A, A x C, C x A.

Explore matrix operations with matrices A, B, and C, including scalar multiplication (-2A) and various matrix products (A x B, B x A, A x C, C x A). Learn the rules of matrix algebra and understand the step-by-step calculations.

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