= {b1, b2} be a basis for a vector space V. Let T:V → V be a linear transformation with the property that T(b1) = 1261 – 562, T(b) = 961 + 4b9 a11 a12 Find the matrix [T]B. If [T]8 = a21 a22. then the value of a11 is , the value of a12 is , the value of a21 is 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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please send complete correct answers Q8

Question 8
Let B = {b1, b2} be a basis for a vector space V. Let T : V > V be a
linear transformation with the property that
T(b1)
12b1 – 5b2, T(b2) = 9b1 + 462
-
a11 a12
Find the matrix [T]&. If [T]g =
a21
then the value of @11 is
, the value of a12 is
, the value of a21 is
and the value of a22 is
Transcribed Image Text:Question 8 Let B = {b1, b2} be a basis for a vector space V. Let T : V > V be a linear transformation with the property that T(b1) 12b1 – 5b2, T(b2) = 9b1 + 462 - a11 a12 Find the matrix [T]&. If [T]g = a21 then the value of @11 is , the value of a12 is , the value of a21 is and the value of a22 is
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