Consider two bases B = {b1,b2, b3} and C = {C1, C2, C3} for a vector space V such that b₁ = C₁ + 6c3, b2 = C₁ + 3c2₂ - C3, and b3 = 5c₁ C2. Suppose X = b1 + 4b2 + b3. That is, suppose [X]B O [10] 11 [10] 11 10 [7] 12 1 O [10 17 = 4 . Find [x]c Jhry

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider two bases B = {b1,b2, b3} and C = {C1, C2, C3} for a
vector space V such that b₁ = C₁ + 6c3, b2 = C₁ + 3c2₂ - C3,
and b3 = 5c₁ C2. Suppose X = b1 + 4b2 + b3. That is,
suppose [X]B
O [10]
11
[10]
11
10
[7]
12
1
O [10
17
-
4 . Find [x]c
J
Transcribed Image Text:Consider two bases B = {b1,b2, b3} and C = {C1, C2, C3} for a vector space V such that b₁ = C₁ + 6c3, b2 = C₁ + 3c2₂ - C3, and b3 = 5c₁ C2. Suppose X = b1 + 4b2 + b3. That is, suppose [X]B O [10] 11 [10] 11 10 [7] 12 1 O [10 17 - 4 . Find [x]c J
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