3. a) A = 26 i) Find the QDQT factorization of A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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[23]
i) Find the QDQT factorization of A
3. a) A =
ii) Find the best rank 1 approximation to A
b) Here's what we know about the matrix B:
• B has 2 rows and 2 columns.
• B = UEVT where is a diagonal matrix, U and V are orthogonal (all 2 × 2).
BT B
[ = [8]
-
●
BB' 8-8-
●
ВВТ
Find U, E and V.
Transcribed Image Text:[23] i) Find the QDQT factorization of A 3. a) A = ii) Find the best rank 1 approximation to A b) Here's what we know about the matrix B: • B has 2 rows and 2 columns. • B = UEVT where is a diagonal matrix, U and V are orthogonal (all 2 × 2). BT B [ = [8] - ● BB' 8-8- ● ВВТ Find U, E and V.
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