Find the Determinant of the Resulting Matrix 3[[3,1]]

Problem

det(3*[[3,1]])

Solution

1. Identify the dimensions of the given matrix. The matrix [[3,1]] has 1 row and 2 columns, making it a 1×2 matrix.

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 resulting matrix 3*[[3,1]]=[[9,3]] is not square, its determinant is undefined.

Final Answer

det(9)=Undefined

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