OA. AX₂ Vu+v 3- Z 2- 1- u 0- 0 1 2 3 4 5 X₁ wu+w 4- 3- Z 2- 1- u 0+ 012 X x+2 Q X₁ Q 2 Q O B. V u+v 4- Z 3- 2- 14 u Which of the following shows the parallelogram determined by u, w, u +w, and 0? O A. Q 0- 0 1 2 3 4 5 6 OB. Q x₂ W u+W 3- ✓ 2- 1- u 04 T 012 X x+2 Q Q 2 C. AX2 6- 5- 4- 3- 2- 1-4 0- 0 O C. AX2 X+2- X- 2- 1-4 0- 0 u+v u+w X₁ W Describe the results of the previous steps. The absolute value of the determinant of the matrix whose columns are vectors which define the sides of a parallelogram X₁ G Q G O D. AX₂ one another is 6- 5- 4- 3- 2- Ju 1- 0- 0 O D. AX₂ x+2- X- 2- 1-4 0- 0 u+v u+W W Q 5 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

PLEASE SOLVE ALL OF THEM AND MAKE THE ASNWERS CLEAR TO SEE

O
A.
AX2
V u + v
3-
Z
2-
1-
X₁
u
0-
0 1 2 3 4 5 6
A.
AX2
wu+w
4-
3-
72
2-
1-
u
T
X
0-
Which of the following shows the parallelogram determined by u, w, u + w, and 0?
0 1 2
X+2
B.
V
u + v
4-
Z
3-
2-
1-
u
X₁
0-
0 1 2 3 4 5 6
B.
3-
2-
1-
X₂
u
T
012
0-
W
X1
u + W
X x+2
Q
X1
AX2
6-
5-
4-
3-
2-
1-
0-
u
0
AX2
X+2+
X-
2-
1-
0-
u
0
1
2
u + v
V
3
3
u + W
W
4
Describe the results of the previous steps.
The absolute value of the determinant of the matrix whose columns are vectors which define the sides of a parallelogram
X1
X1
one another is
D.
AX2
6-
5-
4-
3-
2-
1-
0-
u
0
D.
X+2-
2 TO
AX2
X-
I
1
1/4
1
2
u + v
3 4
u+w
2
W
3
X1
X₁
the area of the parallelogram.
Transcribed Image Text:O A. AX2 V u + v 3- Z 2- 1- X₁ u 0- 0 1 2 3 4 5 6 A. AX2 wu+w 4- 3- 72 2- 1- u T X 0- Which of the following shows the parallelogram determined by u, w, u + w, and 0? 0 1 2 X+2 B. V u + v 4- Z 3- 2- 1- u X₁ 0- 0 1 2 3 4 5 6 B. 3- 2- 1- X₂ u T 012 0- W X1 u + W X x+2 Q X1 AX2 6- 5- 4- 3- 2- 1- 0- u 0 AX2 X+2+ X- 2- 1- 0- u 0 1 2 u + v V 3 3 u + W W 4 Describe the results of the previous steps. The absolute value of the determinant of the matrix whose columns are vectors which define the sides of a parallelogram X1 X1 one another is D. AX2 6- 5- 4- 3- 2- 1- 0- u 0 D. X+2- 2 TO AX2 X- I 1 1/4 1 2 u + v 3 4 u+w 2 W 3 X1 X₁ the area of the parallelogram.
4
[2] ₁
3
arbitrary number x, and repeat the problem. Draw a picture and explain what you find.
Let u =
and v =
Compute the area of the parallelogram determined by u, v, u + v, and 0, and compute the determinant of
of [u v] ]. How do they compare? Replace the first entry of v by an
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer.)
B.
O A. The area of the parallelogram and the determinant of [
The area of the parallelogram,
of[u v] both equal
C. The area of the parallelogram,
is less than the determinant of u v
, is greater than the determinant of u v
X
3
Replace the first entry of v by an arbitrary number x to make w=
(Simplify your answer.)
O A. The area of the parallelogram,
of [u v ]..
B.
The area of the parallelogram and the determinant of [
Select the correct choice below and fill in the answer box(es) to complete your choice.
is greater than the determinant of u W
u W both equal
C. The area of the parallelogram, is less than the determinant of [₁
u W
Transcribed Image Text:4 [2] ₁ 3 arbitrary number x, and repeat the problem. Draw a picture and explain what you find. Let u = and v = Compute the area of the parallelogram determined by u, v, u + v, and 0, and compute the determinant of of [u v] ]. How do they compare? Replace the first entry of v by an Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer.) B. O A. The area of the parallelogram and the determinant of [ The area of the parallelogram, of[u v] both equal C. The area of the parallelogram, is less than the determinant of u v , is greater than the determinant of u v X 3 Replace the first entry of v by an arbitrary number x to make w= (Simplify your answer.) O A. The area of the parallelogram, of [u v ].. B. The area of the parallelogram and the determinant of [ Select the correct choice below and fill in the answer box(es) to complete your choice. is greater than the determinant of u W u W both equal C. The area of the parallelogram, is less than the determinant of [₁ u W
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