Simplify the Matrix 17*[[14,25,7],[7,1,8],[6,0,1]]

Problem

17⋅[[14,25,7],[7,1,8],[6,0,1]]

Solution

1. Identify the operation as scalar multiplication, where every entry inside the matrix must be multiplied by the constant 17.

2. Multiply the elements of the first row: 17⋅14=238 17⋅25=425 and 17⋅7=119

3. Multiply the elements of the second row: 17⋅7=119 17⋅1=17 and 17⋅8=136

4. Multiply the elements of the third row: 17⋅6=102 17⋅0=0 and 17⋅1=17

5. Construct the resulting matrix using the calculated values.

Final Answer

17⋅[[14,25,7],[7,1,8],[6,0,1]]=[[238,425,119],[119,17,136],[102,0,17]]

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