· Let B = {b¡, b2, b3} be a basis for a vector space V. Find T (3b¡ – 4b2) when T is a linear transformation from V to V whose matrix relative to B is 0 -6 5 -1 1 [T]B = 1 -2 7

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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8. Let B = {bj, b2, b3} be a basis for a vector space V. Find
T(3b1 – 4b2) when T is a linear transformation from V to
V whose matrix relative to B is
0 -6
1
[T]B =
5 -1
1
-2
7
Transcribed Image Text:8. Let B = {bj, b2, b3} be a basis for a vector space V. Find T(3b1 – 4b2) when T is a linear transformation from V to V whose matrix relative to B is 0 -6 1 [T]B = 5 -1 1 -2 7
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