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Unformatted text preview: By recursion or cofactors or otherwise(!) compute the determinant of this 5 by 5 circulant matrix C : β‘ β€ 2 β 1 0 β 1 β’ β₯ β’ β₯ β’ β 1 2 β 1 0 β₯ β’ β₯ β’ β₯ C = β’ 0 β 1 2 β 1 0 β₯ β’ β₯ β’ β₯ β’ 0 β 1 2 β 1 β₯ β£ β¦ β 1 0 β 1 2 6 6 (17 pts.) Suppose P 1 is the projection matrix onto the 1dimensional subspace spanned by the ο¬rst column of A . Suppose P 2 is the projection matrix onto the 2Β dimensional column space of A . After thinking a little, compute the product P 2 P 1 . β‘ β€ 1 0 β’ β₯ β’ β₯ β’ 2 1 β₯ β’ β₯ A = . β’ β₯ β’ 0 1 β₯ β£ β¦ 1 2 7...
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This note was uploaded on 01/14/2011 for the course EECS 18.06 taught by Professor Strang during the Spring '05 term at University of Michigan.
 Spring '05
 Strang

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