Find the Determinant of the Resulting Matrix log of 25[[1,1]]

Problem

det((log_)(25)*[[1,1]])

Solution

1. Identify the dimensions of the matrix. The given matrix A=[[1,1]] is a 1×2 matrix (a row vector).

2. Recall the definition of a determinant. The determinant is a scalar value that is only defined for square matrices (matrices with an equal number of rows and columns).

3. Determine if the operation is possible. Since the matrix resulting from the scalar multiplication (log_)(25)*[[1,1]] is a 1×2 matrix, it is not square.

4. Conclude that the determinant does not exist for non-square matrices.

Final Answer

The determinant is undefined for a *1×2* matrix.

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