1) A) Let T: 1R²_) 1R²³ be defined by T (ar, az) = (90-92, 90, 200+92). Let B be the standard ordered basis for IR2 and 8 = {(1,1,0), (0,1,1), (2,2,3)}. i) compute [+]%
1) A) Let T: 1R²_) 1R²³ be defined by T (ar, az) = (90-92, 90, 200+92). Let B be the standard ordered basis for IR2 and 8 = {(1,1,0), (0,1,1), (2,2,3)}. i) compute [+]%
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1) A) Let T: IR² -> IR² be defined by T (ar, az) = (ar - 92, 90₁ 200+92).
Let B be the standard ordered basis for IR² and 8 = {(1,1,0), (0,1,1),
(2,2,3)}.
i) compute [+]
४
8
IF
ii) If α = {(1,2), (2,3)} compute [T]ot
B) T: M2x2 (IR) -> P₂ (IR)
a
b
C d
= (a + b) + (2 d) x + bx².
Let B=((:), (6), (;;), (: :)) be the ordered
canonical basis of Max2 (R) and x = ( 1₁ X₁ X ²).
Compute [T]
144](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd597ffd2-5c4b-4c2e-8332-77ce1607dac1%2F5d62b5eb-9acb-432a-b945-bd4faae0217c%2Fuzqjsapd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) A) Let T: IR² -> IR² be defined by T (ar, az) = (ar - 92, 90₁ 200+92).
Let B be the standard ordered basis for IR² and 8 = {(1,1,0), (0,1,1),
(2,2,3)}.
i) compute [+]
४
8
IF
ii) If α = {(1,2), (2,3)} compute [T]ot
B) T: M2x2 (IR) -> P₂ (IR)
a
b
C d
= (a + b) + (2 d) x + bx².
Let B=((:), (6), (;;), (: :)) be the ordered
canonical basis of Max2 (R) and x = ( 1₁ X₁ X ²).
Compute [T]
144
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