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The solution to \(3A - 2B\) is the matrix:

\[
3A - 2B = \begin{bmatrix} -4 & -7 \\ 18 & -4 \end{bmatrix}
\]

Would you like further details on how this was calculated?

Here are 5 related questions to consider:
1. What are the properties of matrix addition and scalar multiplication?
2. How do you compute the product of a scalar with a matrix?
3. What is the determinant of the resulting matrix \(3A - 2B\)?
4. How can we check if the matrix \(3A - 2B\) is invertible?
5. How do matrices behave under addition and multiplication in terms of linear transformations?

**Tip**: When working with matrix operations, always check the matrix dimensions to ensure they can be added, subtracted, or multiplied!

If A = [[2, -1], [4, 0]] and B = [[5, 2], [-3, 2]], find 3A - 2B.

Learn how to compute 3A - 2B where A = [[2, -1], [4, 0]] and B = [[5, 2], [-3, 2]]. This problem explores matrix algebra concepts such as scalar multiplication and matrix subtraction. Suitable for Grades 9-10 students.

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