Simplify the Matrix

Problem

1/(2*a)*[[2,−8,−10,−14],[−2,3,1,0],[7,0,−1,−3]]

Solution

1. Identify the scalar multiplication operation, where the scalar is 1/(2*a)

2. Distribute the scalar 1/(2*a) to every individual element within the matrix.

3. Simplify each resulting fraction by canceling common factors where possible.

Final Answer

1/(2*a)*[[2,−8,−10,−14],[−2,3,1,0],[7,0,−1,−3]]=[[1/a,−4/a,−5/a,−7/a],[−1/a,3/(2*a),1/(2*a),0],[7/(2*a),0,−1/(2*a),−3/(2*a)]]

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