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Question
Can a determinant be negative?
Can a determinant be negative?
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Solution
The answer is Yes.
Definition of determinant: The determinant of a matrix is any real number. Thus, it includes both positive and negative numbers along with fractions. Suppose a matrix P has a determinant of a positive number, then the determinant of P will be negative after swapping any rows or columns.
Hence, the determinate of the matrix can be negative.
The answer is Yes.
Definition of determinant: The determinant of a matrix is any real number. Thus, it includes both positive and negative numbers along with fractions. Suppose a matrix P has a determinant of a positive number, then the determinant of P will be negative after swapping any rows or columns.
Hence, the determinate of the matrix can be negative.
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