True or false? 3. The determinant of an elementary matrix is never zero.

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rakesh05 | High School Teacher | (Level 1) Assistant Educator

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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.

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pramodpandey | College Teacher | (Level 3) Valedictorian

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If E is an elementary matrix, then E is invertible i.e `E^(-1)` exist. Hence





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