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2.16 Consider this matrix, representing a transformation of R² with respect to the bases. (9) B = (( - ()-(6) D=C). (¹) (a) To what vector in the codomain is the first member of B mapped? 1 2

2.16 Consider this matrix, representing a transformation of R² with respect to the bases. (9) B = (( - ()-(6) D=C). (¹) (a) To what vector in the codomain is the first member of B mapped? 1 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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Please do part A,B,C and please show step by step and explain

✓2.16 Consider this matrix, representing a transformation of R² with respect to the bases. 1 (11) ‹(9)·(1)› D= ‹(1) · (-¹1)› (a) To what vector in the codomain is the first member of B mapped? B Section III. Computing Linear Maps (b) The second member? (c) Where is a general vector from the domain (a vector with components x and y) mapped? That is, what transformation of R² is represented with respect to B, D by this matrix? 229
Transcribed Image Text:✓2.16 Consider this matrix, representing a transformation of R² with respect to the bases. 1 (11) ‹(9)·(1)› D= ‹(1) · (-¹1)› (a) To what vector in the codomain is the first member of B mapped? B Section III. Computing Linear Maps (b) The second member? (c) Where is a general vector from the domain (a vector with components x and y) mapped? That is, what transformation of R² is represented with respect to B, D by this matrix? 229
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