5 - [6 1 [] Compute the area of the parallelogram determined by u, v, u + v, and 0, and compute the 2 determinant of [u v ]. How do they compare? Replace the first entry of v by an arbitrary number x, and repeat the problem. Draw a picture and explain what you find. Let u = and v= ... Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer.) A. The area of the parallelogram and the determinant of [u v] both equal ›].0· is less than the determinant of [u v ].. B. The area of the parallelogram, , is greater than the determinant of [₁ u v C. The area of the parallelogram,

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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Question
[1]
Compute the area of the parallelogram determined by u, v, u + v, and 0, and compute the
2
determinant of [u v ]. How do they compare? Replace the first entry of v by an arbitrary number x, and repeat the
problem. Draw a picture and explain what you find.
Let u =
5
[6]
and v =
...
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer.)
O A. The area of the parallelogram and the determinant of [u v] both equal
O B. The area of the parallelogram,
OC. The area of the parallelogram,
is greater than the determinant of u V
],
"
is less than the determinant of [u v ]..
"
Transcribed Image Text:[1] Compute the area of the parallelogram determined by u, v, u + v, and 0, and compute the 2 determinant of [u v ]. How do they compare? Replace the first entry of v by an arbitrary number x, and repeat the problem. Draw a picture and explain what you find. Let u = 5 [6] and v = ... Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer.) O A. The area of the parallelogram and the determinant of [u v] both equal O B. The area of the parallelogram, OC. The area of the parallelogram, is greater than the determinant of u V ], " is less than the determinant of [u v ].. "
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