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Simplify the Matrix [[-4,2,3]]+[[-2],[0],[-1]]

Problem

[[−4,2,3]]+[[−2],[0],[−1]]

Solution

  1. Identify the dimensions of the given matrices. The first matrix is a 1×3 row vector, and the second matrix is a 3×1 column vector.

  2. Determine if the operation is possible. Matrix addition is only defined for matrices of the same dimensions (the same number of rows and columns).

  3. Conclude that because a 1×3 matrix and a 3×1 matrix do not have the same dimensions, they cannot be added together.

Final Answer

[[−4,2,3]]+[[−2],[0],[−1]]=Undefined


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