Simplify the Matrix

Problem

0.5*[[8,18,8,0],[30,24,11,4],[8,29,32,14],[0,29,50,32]]

Solution

1. Identify the scalar multiplication operation, where each element (a_i*j) of the matrix must be multiplied by the scalar k=0.5

2. Multiply every entry in the first row by 0.5 0.5×8=4 0.5×18=9 0.5×8=4 and 0.5×0=0

3. Multiply every entry in the second row by 0.5 0.5×30=15 0.5×24=12 0.5×11=5.5 and 0.5×4=2

4. Multiply every entry in the third row by 0.5 0.5×8=4 0.5×29=14.5 0.5×32=16 and 0.5×14=7

5. Multiply every entry in the fourth row by 0.5 0.5×0=0 0.5×29=14.5 0.5×50=25 and 0.5×32=16

Final Answer

0.5*[[8,18,8,0],[30,24,11,4],[8,29,32,14],[0,29,50,32]]=[[4,9,4,0],[15,12,5.5,2],[4,14.5,16,7],[0,14.5,25,16]]

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