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

Problem

2*[[3,−3],[0,0]]

Solution

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

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

3. Calculate the product for the first row: 2×3=6 and 2×−3=−6

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

5. Construct the resulting matrix using the calculated values.

Final Answer

2*[[3,−3],[0,0]]=[[6,−6],[0,0]]

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