Subtract the Matrices [[9],[-4]]-[[4],[-8]]

Problem

[[9],[−4]]−[[4],[−8]]

Solution

1. Identify the corresponding elements in each matrix. Since both are 2×1 column vectors, subtract the elements in the first row and then the elements in the second row.

2. Subtract the elements in the first row:

9−4=5

3. Subtract the elements in the second row, being careful with the signs:

−4−(−8)=−4+8=4

4. Combine the results into a new 2×1 matrix.

Final Answer

[[9],[−4]]−[[4],[−8]]=[[5],[4]]

Want more problems? Check here!