What are L and D (the diagonal pivot matrix) for this matrix A? What is U in A = LU and what is the new U in A = LDU? [2 4 8] 0 3 9 7

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. What are L and D (the diagonal pivot matrix) for this matrix A? What is U in
A = LU and what is the new U in A = LDU?
2 4 8
0 3 9
0 0 7
4. Let A, B be symmetric of the same size. Which of these matrices are certainly sym-
metric: (a) A? — В?, (Ь) (А + В)(А — В), (с) АВА, (d) АВАВ.
Transcribed Image Text:3. What are L and D (the diagonal pivot matrix) for this matrix A? What is U in A = LU and what is the new U in A = LDU? 2 4 8 0 3 9 0 0 7 4. Let A, B be symmetric of the same size. Which of these matrices are certainly sym- metric: (a) A? — В?, (Ь) (А + В)(А — В), (с) АВА, (d) АВАВ.
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