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Unformatted text preview: b = QQ T b (c) The error vector e = b p is contained in the left nullspace of Q , the nullspace of Q T . To check this, we compute Q T e = Q T b QQ T b = Q T b Q T QQ T b = Q T b IQ T b = Question 6. The product P 2 P 1 is projection onto the column space of P 1 , followed by the projection onto the column space of P 2 . Since the column space of P 2 contains the column space of P 1 , the second projection does not change the vectors anymore. Thus 1 1 1 1 2 1 2 2 2 1 2 4 1 P 2 P 1 = P 1 = 2 1 1 2 1 = 6 1 1 1 2 1 2...
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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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