Find the Determinant of the Resulting Matrix [[1,8,6]]+[[4,0],[5,9],[2,3]]

Problem

det([[1,8,6]]+[[4,0],[5,9],[2,3]])

Solution

1. Check for compatibility of the matrix addition. The first matrix is a 1×3 row vector, and the second matrix is a 3×2 matrix.

2. Determine the dimensions of the matrices. Matrix addition is only defined for matrices of the same dimensions.

3. Identify the error in the operation. Since a 1×3 matrix cannot be added to a 3×2 matrix, the resulting matrix is undefined.

4. Conclude that the determinant cannot be calculated because the sum of the matrices does not exist.

Final Answer

The operation is undefined because the matrices have different dimensions.

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