Elementary Matrices Flashcards by Isabella Gillett

Q

What is an Elementary Matrix?

A

any matrix that can be obtained by performing an elementary row operation (ERO) on an identity matrix.

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Q

What ERO corresponds to this elementary matrix?

A

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Q

What ERO corresponds to this elementary matrix?

A

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Q

What ERO corresponds to this elementary matrix?

A

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Q

Express A and A^-1 as products of elementary matrices

A

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Q

What are the 3 types of Elementary Row Operations?

A

Row swap
Scalar Multiplication
Adding scalar multiple of another row

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Q

Explain briefly why the inerse of an elementary matrix is elementary.

A

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Q

Find the inverse for each of the following elementary matrices

A

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