4. Define two ordered bases 2 B = and C = 2 3 3 2 on R³. (i) Find PB-c. (Hint: Use your work from problems 2 and 3.) (ii) Find numbers a, b, c satisfying a 2 +6 |1| +c|1 = 2 2 +3 2 - 4 1 1 3 3 2 by computing a = PB+C 3 4 (iii) For what vector va in R³ do we have 2 [v4]B and 3 = [v4]c? -4
4. Define two ordered bases 2 B = and C = 2 3 3 2 on R³. (i) Find PB-c. (Hint: Use your work from problems 2 and 3.) (ii) Find numbers a, b, c satisfying a 2 +6 |1| +c|1 = 2 2 +3 2 - 4 1 1 3 3 2 by computing a = PB+C 3 4 (iii) For what vector va in R³ do we have 2 [v4]B and 3 = [v4]c? -4
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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