Find the Variables [[0.9,0.3],[0.1,0.7]][[x],[y]]=[[u],[v]]

Problem

[[0.9,0.3],[0.1,0.7]]*[[x],[y]]=[[u],[v]]

Solution

1. Identify the matrix multiplication operation on the left side of the equation.

2. Multiply the first row of the matrix by the column vector to find the expression for u

0.9*x+0.3*y=u

3. Multiply the second row of the matrix by the column vector to find the expression for v

0.1*x+0.7*y=v

Final Answer

[[0.9,0.3],[0.1,0.7]]*[[x],[y]]=[[0.9*x+0.3*y],[0.1*x+0.7*y]]

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