# Elementary matrix

Please kindly show each step of your solution. Thank you.

Without using Proposition 2.9, show that for any elementary matrix E...

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#### Solution Preview

Please see the attachment.

Proof:

We consider three types of elementary matrix.

We start from the identity matrix .

Type 1: is to interchange two rows of . Suppose it interchanges row i ...

#### Solution Summary

This is a proof regarding the determinant of an elementary matrix. The proposition of elementary matrices are examined.

$2.49