Simplify the Matrix [[-2,6],[3,-9]]+[[7,1,5],[-3,0,4]]

Problem

[[−2,6],[3,−9]]+[[7,1,5],[−3,0,4]]

Solution

1. Identify the dimensions of the matrices being added. The first matrix is a 2×2 matrix, and the second matrix is a 2×3 matrix.

2. Apply the rule for matrix addition, which states that two matrices can only be added if they have the same dimensions (the same number of rows and columns).

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

Final Answer

[[−2,6],[3,−9]]+[[7,1,5],[−3,0,4]]=Undefined

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