Multiply the Matrices

Problem

6*[[1,1,1,1,0,0,12],[2,1,3,0,1,0,18],[−1,−2,−3,0,0,1,0]]

Solution

1. Identify the operation as scalar multiplication, where every element inside the matrix must be multiplied by the scalar 6

2. Multiply each element in the first row by 6

6×1=6

6×1=6

6×1=6

6×1=6

6×0=0

6×0=0

6×12=72

3. Multiply each element in the second row by 6

6×2=12

6×1=6

6×3=18

6×0=0

6×1=6

6×0=0

6×18=108

4. Multiply each element in the third row by 6

6×−1=−6

6×−2=−12

6×−3=−18

6×0=0

6×0=0

6×1=6

6×0=0

5. Assemble the resulting values into the new matrix dimensions.

Final Answer

6*[[1,1,1,1,0,0,12],[2,1,3,0,1,0,18],[−1,−2,−3,0,0,1,0]]=[[6,6,6,6,0,0,72],[12,6,18,0,6,0,108],[−6,−12,−18,0,0,6,0]]

Want more problems? Check here!