Subtract the Matrices

Problem

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

Solution

1. Identify the dimensions of the two matrices. The first matrix is a 3×3 matrix (3 rows and 3 columns), and the second matrix is a 2×3 matrix (2 rows and 3 columns).

2. Check the requirements for matrix subtraction. Matrix subtraction is only defined for matrices of the same dimensions.

3. Conclude that because the number of rows in the first matrix (3) does not equal the number of rows in the second matrix (2), the operation cannot be performed.

Final Answer

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

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