1. Consider {{:} } } {[:] } } -1 B = B' = 1 1 (a) Show that B and B' are bases of R3. [ 9. (b) Find the coordinate matrices of v = 2 relative to the bases B and B'.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Consider
{[:] [} }
{}]
-1
B =
B' =
1
(a) Show that B and B' are bases of R3.
(b) Find the coordinate matrices of v =
relative to the bases B and B'.
-5
(c) Find the transition matrix PB-B'.
(d) Verify that
[x(v)]B' = PB¬B' [x(v)B].
Transcribed Image Text:1. Consider {[:] [} } {}] -1 B = B' = 1 (a) Show that B and B' are bases of R3. (b) Find the coordinate matrices of v = relative to the bases B and B'. -5 (c) Find the transition matrix PB-B'. (d) Verify that [x(v)]B' = PB¬B' [x(v)B].
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