Find the Determinant of the Resulting Matrix [[1],[2],[3]]+[[0],[5]]

Problem

det([[1],[2],[3]]+[[0],[5]])

Solution

1. Check for compatibility of the matrices for the addition operation.

2. Identify dimensions of the first matrix, which is 3×1 and the second matrix, which is 2×1

3. Determine validity of the operation. Matrix addition is only defined for matrices of the same dimensions.

4. Conclude that because the dimensions do not match, the sum is undefined, and therefore the determinant cannot be calculated.

Final Answer

The operation is undefined because the matrices have different dimensions.

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