Simplify the Matrix 2[[9,8],[10,3],[11,12]]

Problem

2*[[9,8],[10,3],[11,12]]

Solution

1. Identify the operation as scalar multiplication, where the scalar 2 must be multiplied by every individual entry within the matrix.

2. Multiply the entries in the first row by 2 2×9=18 and 2×8=16

3. Multiply the entries in the second row by 2 2×10=20 and 2×3=6

4. Multiply the entries in the third row by 2 2×11=22 and 2×12=24

5. Construct the resulting matrix using the calculated values.

Final Answer

2*[[9,8],[10,3],[11,12]]=[[18,16],[20,6],[22,24]]

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