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L3x3 + M (subspace sum). sym 3×3 !! L3x3 O M (direct sum). sym 3×3 !! express A E M3x3 as A = L+U where L is lower triangular and U is upper Then add and subtract UT. Explain your answers for both statements.

L3x3 + M (subspace sum). sym 3×3 !! L3x3 O M (direct sum). sym 3×3 !! express A E M3x3 as A = L+U where L is lower triangular and U is upper Then add and subtract UT. Explain your answers for both statements.

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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4. Which of the following statements are true? (a) M3x3 = L3x3 + M (subspace sum). sym 3×3 (b) M3x3 = L3x3 O M (direct sum). Hint: first express A E M3×3 as A = L+U where L is lower triangular and U is upper triangular. Then add and subtract U". Explain your answers for both statements.
Transcribed Image Text:4. Which of the following statements are true? (a) M3x3 = L3x3 + M (subspace sum). sym 3×3 (b) M3x3 = L3x3 O M (direct sum). Hint: first express A E M3×3 as A = L+U where L is lower triangular and U is upper triangular. Then add and subtract U". Explain your answers for both statements.
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