Multiply the Matrices [[0.8,0.3],[0.2,0.7]][[0.6],[0.4]]

Problem

[[0.8,0.3],[0.2,0.7]]*[[0.6],[0.4]]

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 resulting matrix by multiplying the first row of the first matrix by the column of the second matrix.

0.8⋅0.6+0.3⋅0.4

0.48+0.12=0.6

3. Calculate the second element of the resulting matrix by multiplying the second row of the first matrix by the column of the second matrix.

0.2⋅0.6+0.7⋅0.4

0.12+0.28=0.4

4. Combine the results into the final column matrix.

Final Answer

[[0.8,0.3],[0.2,0.7]]*[[0.6],[0.4]]=[[0.6],[0.4]]

Want more problems? Check here!