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True or false? 3. The determinant of an elementary matrix is never zero.
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High School Teacher
Because elementary matrices are a result of identity matrices by applying elementary operations. Also an elementary matrix is invertible. And as determinant of an identity matrix is 1`!=0` . Hence the determinant of elementary matrices is non-zero.
Posted by rakesh05 on April 30, 2013 at 4:16 AM (Answer #1)
If E is an elementary matrix, then E is invertible i.e `E^(-1)` exist. Hence
Posted by pramodpandey on May 1, 2013 at 4:33 AM (Answer #1)
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