Simplify the Matrix 3[[0,3],[0,2]]

Problem

3*[[0,3],[0,2]]

Solution

1. Identify the operation as scalar multiplication of a matrix, where the scalar is 3 and the matrix is a 2×2 matrix.

2. Apply the rule for scalar multiplication by multiplying every individual element inside the matrix by the scalar 3

3. Calculate the product for the first row: 3×0=0 and 3×3=9

4. Calculate the product for the second row: 3×0=0 and 3×2=6

5. Construct the resulting matrix using the calculated values.

Final Answer

3*[[0,3],[0,2]]=[[0,9],[0,6]]

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