Simplify the Matrix 4[[-1,2],[1,-2]]

Problem

4*[[−1,2],[1,−2]]

Solution

1. Identify the operation as scalar multiplication, where the scalar k=4 is multiplied by each entry in the matrix.

2. Multiply the first row entries by 4 4×−1=−4 and 4×2=8

3. Multiply the second row entries by 4 4×1=4 and 4×−2=−8

4. Construct the resulting matrix using the calculated values.

Final Answer

4*[[−1,2],[1,−2]]=[[−4,8],[4,−8]]

Want more problems? Check here!