Subtract the Matrices

Problem

2*[[4,−3],[0,2],[−1,5],[3,0]]−3*[[1,−7,0],[3,4,−6]]

Solution

1. Identify the dimensions of the two matrices. The first matrix has 4 rows and 2 columns (4×2, while the second matrix has 2 rows and 3 columns (2×3.

2. Determine if the operation is possible. Matrix addition and subtraction require the matrices to have the exact same dimensions.

3. Conclude that because the dimensions 4×2 and 2×3 are not equal, the subtraction is undefined.

Final Answer

2*[[4,−3],[0,2],[−1,5],[3,0]]−3*[[1,−7,0],[3,4,−6]]=Undefined (Dimensions do not match)

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