Multiply the Matrices [[-2,-1],[-1,-2]][[1],[-1]]

Problem

[[−2,−1],[−1,−2]]*[[1],[−1]]

Solution

1. Identify the dimensions of the matrices. The first matrix is a 2×2 matrix and the second is a 2×1 matrix. The resulting matrix will be a 2×1 matrix.

2. Calculate the first element of the result by taking the dot product of the first row of the first matrix and the column of the second matrix.

(−2)*(1)+(−1)*(−1)

−2+1=−1

3. Calculate the second element of the result by taking the dot product of the second row of the first matrix and the column of the second matrix.

(−1)*(1)+(−2)*(−1)

−1+2=1

4. Combine the results into the final column matrix.

Final Answer

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

Want more problems? Check here!