Points on a straight shoreline, A and B , are separated by 700 yd . Observers at each point record the bearing to a ship at sea. The observer at point A locates the ship at N50°E , while the observer at point B notes the ship on a bearing of 50 ° W . If point A is due west of point 8, how far is the ship from each observer? Round to the nearest yard.
Points on a straight shoreline, A and B , are separated by 700 yd . Observers at each point record the bearing to a ship at sea. The observer at point A locates the ship at N50°E , while the observer at point B notes the ship on a bearing of 50 ° W . If point A is due west of point 8, how far is the ship from each observer? Round to the nearest yard.
Points on a straight shoreline,
A
and
B
, are separated by
700
yd
. Observers at each point record the bearing to a ship at sea. The observer at point
A
locates the ship at
N50°E
, while the observer at point
B
notes the ship on a bearing of
50
°
W
. If point
A
is due west of point 8, how far is the ship from each observer? Round to the nearest yard.
A factorization A = PDP 1 is not unique. For A=
7 2
-4 1
1
1
5 0
2
1
one factorization is P =
D=
and P-1
30
=
Use this information with D₁
=
to find a matrix P₁ such that
-
-1 -2
0 3
1
-
- 1
05
A-P,D,P
P1
(Type an integer or simplified fraction for each matrix element.)
Matrix A is factored in the form PDP 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace.
30 -1
-
1 0 -1
400
0
0 1
A=
3 4 3
0 1 3
040
3 1 3
0 0
4
1
0
0
003
-1 0 -1
Select the correct choice below and fill in the answer boxes to complete your choice.
(Use a comma to separate vectors as needed.)
A basis for the corresponding eigenspace is {
A. There is one distinct eigenvalue, λ =
B. In ascending order, the two distinct eigenvalues are λ₁
...
=
and 2
=
Bases for the corresponding eigenspaces are {
and ( ), respectively.
C. In ascending order, the three distinct eigenvalues are λ₁ =
=
12/2
=
and 3 = Bases for the corresponding eigenspaces are
{}, }, and {
respectively.
University Calculus: Early Transcendentals (4th Edition)
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