Simplify the Matrix 25[[5,-2],[-1,3]]

Problem

25*[[5,−2],[−1,3]]

Solution

1. Identify the operation as scalar multiplication, where each entry inside the matrix is multiplied by the constant factor 25

2. Distribute the scalar 25 to the first row of the matrix.

25×5=125

25×−2=−50

3. Distribute the scalar 25 to the second row of the matrix.

25×−1=−25

25×3=75

4. Combine the results into the final matrix structure.

Final Answer

25*[[5,−2],[−1,3]]=[[125,−50],[−25,75]]

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