Subtract the Matrices

Problem

[[6],[4],[6],[−2]]−1/2*[[−1],[1],[1],[1]]

Solution

1. Distribute the scalar −1/2 into the second matrix by multiplying each element by 1/2

1/2*[[−1],[1],[1],[1]]=[[−0.5],[0.5],[0.5],[0.5]]

2. Set up the subtraction between the corresponding elements of the two matrices.

[[6],[4],[6],[−2]]−[[−0.5],[0.5],[0.5],[0.5]]=[[6−(−0.5)],[4−0.5],[6−0.5],[−2−0.5]]

3. Simplify each element by performing the arithmetic operations.

[[6.5],[3.5],[5.5],[−2.5]]

Final Answer

[[6],[4],[6],[−2]]−1/2*[[−1],[1],[1],[1]]=[[6.5],[3.5],[5.5],[−2.5]]

Want more problems? Check here!