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Worksheet6

# Worksheet6 - 0 1 0 0 0 0 0 0 2 1 0 0 0 0 0 2 1 0 0 0 0 0 2...

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Worksheet 6 February 13th, 2009 1. Show that if AB is invertible then both A and B are. 2. If A is a 4 × 4 matrix and det( A ) = 3, then what is det(5 A )? More generally, if A is n × n , what is det( kA ) (in terms of det( A )) where k 6 = 0? 3. Show that if A and B are n × n matrices and AB is not invertible, then neither is BA . 4. Calculate det( A ). A =
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Unformatted text preview: 0 1 0 0 0 0 0 0 2 1 0 0 0 0 0 2 1 0 0 0 0 0 2 0 0 0 0 0 0 3 5. Calculate det( A ) from Lenstra’s midterm about 10 years ago. A = 7-3 1-3 7-3 1-3-3 7 1...
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