(a) Let S be the parallelogram with vertices (3,0), (8, 1), (0,3), and (5, 4) in R2. Find the area of S using determinants. Hint: you will first want to find the vectors that represent the edges of the parallelogram. 3 (b) Let T : R2 R? be the lincar transformation given by the standard matrix A = Compute the area of the image of S under T. 1.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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This is linear algebra question (solve both sub-parts a,b)

please solve my homework question accurately. Thanks 

(a) Let S be the parallelogram with vertices (3,0), (8, 1), (0,3), and (5, 4) in R2. Find the area
of S using determinants.
Hint: you will first want to find the vectors that represent the edges of the parallelogram.
3
(b) Let T : R? → R? be the lincar transformation given by the standard matrix A =
1
Compute the area of the image of S under T.
Transcribed Image Text:(a) Let S be the parallelogram with vertices (3,0), (8, 1), (0,3), and (5, 4) in R2. Find the area of S using determinants. Hint: you will first want to find the vectors that represent the edges of the parallelogram. 3 (b) Let T : R? → R? be the lincar transformation given by the standard matrix A = 1 Compute the area of the image of S under T.
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