{b1, b2, b3 } be a basis for a vector space V. Let T:V → V be 0. Let B = -4 1 | a linear transformation such that T|B 1 . Express 6. T(6b2 + 9b3) as a linear combination of b1, b2 and b3. If T(6b2 + 9b3) = r b1 +s b2 +t b3, then the value of r is 1 A the value of S is and the value of t is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let B = {b1, b2, b3 } be a basis for a vector space V. Let T :V → V be
0.
-4 1
a linear transformation such that T =
B
1
Express
.
T(6b2 + 963 ) as a linear combination of 61, b2 and b3. If
T(6b2 +9b3) = r b1 + s b2 +t b3, then the value of T is
1
2 6
, the value of S is
and the value of t is
Transcribed Image Text:Let B = {b1, b2, b3 } be a basis for a vector space V. Let T :V → V be 0. -4 1 a linear transformation such that T = B 1 Express . T(6b2 + 963 ) as a linear combination of 61, b2 and b3. If T(6b2 +9b3) = r b1 + s b2 +t b3, then the value of T is 1 2 6 , the value of S is and the value of t is
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