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4. Let T₁(x) = A₁ (x) and T₂(x) = A₂(x) be defined by the following matrices A₁, A2. Let T = T₂0 T₁. Find the matrix that defines T and use it to determine the image of the vector x under T (a) A₁ = (b) A₁ = -2 0 [B] 3 1 5 H , A₂= A₂ = 19- X = 2 3 -4 5 X = B 3 -2

4. Let T₁(x) = A₁ (x) and T₂(x) = A₂(x) be defined by the following matrices A₁, A2. Let T = T₂0 T₁. Find the matrix that defines T and use it to determine the image of the vector x under T (a) A₁ = (b) A₁ = -2 0 [B] 3 1 5 H , A₂= A₂ = 19- X = 2 3 -4 5 X = B 3 -2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Let T₁(x) = A₁(x) and T₂(x) = A₂(x) be defined by the following matrices A₁, A2. Let T = T₂0 T₁. Find the matrix that defines T and use it to determine the image of the vector x under T -2 0 1 Q4-4-|--| 3 1 (a) = (b) 2 (4-4-43-0 , = = 2 5 X = X = 3
Transcribed Image Text:4. Let T₁(x) = A₁(x) and T₂(x) = A₂(x) be defined by the following matrices A₁, A2. Let T = T₂0 T₁. Find the matrix that defines T and use it to determine the image of the vector x under T -2 0 1 Q4-4-|--| 3 1 (a) = (b) 2 (4-4-43-0 , = = 2 5 X = X = 3
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