Subtract the Matrices

Problem

[[2,−1,4],[3,0,8]]−2*[[2,4],[−5,1],[−3,6]]

Solution

1. Check dimensions for matrix subtraction. The first matrix is 2×3 (2 rows, 3 columns). The second matrix is 3×2 (3 rows, 2 columns).

2. Identify the rule for matrix addition and subtraction. Matrices can only be added or subtracted if they have the same dimensions.

3. Determine the result based on the dimensions. Since the dimensions of the first matrix (2×3 do not match the dimensions of the second matrix (3×2, the operation is undefined.

Final Answer

[[2,−1,4],[3,0,8]]−2*[[2,4],[−5,1],[−3,6]]=Undefined (Dimensions do not match)

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