4. Let aj = 9. and b = 63 , a2 = 45 (a) Write b as a linear combination of a1 and a2. b = aj + a2. (b) If T:R2 - R? is a linear combination such that T(a1) and T(a2) = , find T(b). %3D T(b)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 4E: Let A=[aij]23 where aij=i+j, and let B=[bij]34 where bij=2ij. If AB=[cij]24, write a formula for cij...
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63
and b =
3
Let aj =
a2 =
45
(a) Write b as a linear combination of a¡ and a2.
b =
a1 +
a2.
(b) If T:R² –→ R² is a linear combination such that T(a1)
and T(a2)
find T(b).
тЪ) —
Transcribed Image Text:63 and b = 3 Let aj = a2 = 45 (a) Write b as a linear combination of a¡ and a2. b = a1 + a2. (b) If T:R² –→ R² is a linear combination such that T(a1) and T(a2) find T(b). тЪ) —
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