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Problem

[[0.30,0.20,0.30],[0.40,0.30,0.30],[0.30,0.30,0.20]]−[[81],[8],[9]]

Solution

  1. Check dimensions for matrix subtraction. The first matrix is a 3×3 matrix, while the second matrix is a 3×1 column vector.

  2. Identify that matrix addition and subtraction are only defined for matrices of the same dimensions.

  3. Conclude that because the number of columns in the first matrix (3) does not match the number of columns in the second matrix (1), the operation is undefined.

Final Answer

The operation is undefined due to mismatched dimensions.


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