Let B = {b1, b2} be a basis for a vector space V. Let T: V → V be a linear transformation with the property that %3D T(b1) = 2b1 + 5b2, T(b2) = 7b1 + 6b2 %3D [a11 a12 Find the matrix T|B If T|B a21 a22. then the value of a11 is the value of a12 is , the value of a21 is A and the value of a22 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} be a basis for a vector space V. Let T: V
→ V be a linear
|3|
transformation with the property that
T(b1) = 2b1 + 5b2, T(b2) = 7b1 + 6b2
|a11
a12
Find the matrix T|B. If [T]B=
a21
a22
then the value of a11 is
the value of a21 is
the value of a12 is
and the value of a22 is
A/
Transcribed Image Text:Let B = {b1, b2} be a basis for a vector space V. Let T: V → V be a linear |3| transformation with the property that T(b1) = 2b1 + 5b2, T(b2) = 7b1 + 6b2 |a11 a12 Find the matrix T|B. If [T]B= a21 a22 then the value of a11 is the value of a21 is the value of a12 is and the value of a22 is A/
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