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Q2. Let A = (aij) be a 10 × 10 positive definite matrix with Cholesky factor R = (rij). Suppose that a₁1 = 9, a12 = 12, α17 = 3, a22 =25, and a27 = 7. Solve for 127.

Q2. Let A = (aij) be a 10 × 10 positive definite matrix with Cholesky factor R = (rij). Suppose that a₁1 = 9, a12 = 12, α17 = 3, a22 =25, and a27 = 7. Solve for 127.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Q2.** Let \( A = (a_{ij}) \) be a \( 10 \times 10 \) positive definite matrix with Cholesky factor \( R = (r_{ij}) \). Suppose that \( a_{11} = 9 \), \( a_{12} = 12 \), \( a_{17} = 3 \), \( a_{22} = 25 \), and \( a_{27} = 7 \). Solve for \( r_{27} \).
Transcribed Image Text:**Q2.** Let \( A = (a_{ij}) \) be a \( 10 \times 10 \) positive definite matrix with Cholesky factor \( R = (r_{ij}) \). Suppose that \( a_{11} = 9 \), \( a_{12} = 12 \), \( a_{17} = 3 \), \( a_{22} = 25 \), and \( a_{27} = 7 \). Solve for \( r_{27} \).
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