Add 2[[1,2],[-2,1]]+3[[-5],[3]]

Problem

2*[[1,2],[−2,1]]+3*[[−5],[3]]

Solution

1. Check for compatibility: Observe the dimensions of the two matrices. The first matrix is a 2×2 matrix, while the second matrix is a 2×1 column vector.

2. Identify the rule for addition: Recall that matrix addition is only defined for matrices of the same dimensions (the same number of rows and the same number of columns).

3. Conclude the operation: Since a 2×2 matrix cannot be added to a 2×1 matrix, the operation is undefined.

Final Answer

2*[[1,2],[−2,1]]+3*[[−5],[3]]=Undefined

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