Diagonalize the matrix above. That is, find matrix D and a
nonsingular matrix P such that A = PDP-1 . Use the
representation to find the entries of An as a function
of n.
A =
(1 −7 5 0
0 10 8 2
2 4 10 3
−4 8 −9 6)
(1) Count the number of rows that contain negative
components.
(2) Obtain the inverse of A and count the number of columns that
contain even number of positive components.
(3) Assign column names (a,b,c,d) to the columns of A.
(4) Transform the matrix A into a vector object a by stacking
rows.
(5) Replace the diagonal components of A with (0,0,2,3). Hint:...
Given:
x
y
-5
1
-4
5
-3
4
-2
7
-1
10
0
8
1
9
2
13
3
14
4
13
5
18
What are the confidence limits (alpha = 0.05) for the true mean
value of Y when X = 3?
Mother's age
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,51
Female 1, 0, 2, 2, 3, 4, 7, 3, 2, 4, 7, 1, 6, 4, 5, 3, 1, 4, 0,
1, 1, 1, 0, 1, 0
Use the stem and leaf plots that you previously created to help
you draw and label histograms on your scratch paper with bin width
of 2 for mothers's age at birth of female students and for mother's
age at birth of male students. Make the lower bound of your first
bin...
f(x,y) = 2/7(2x + 5y) for 0 < x < 1, 0 < y < 1
given X is the number of students who get an A on test 1
given Y is the number of students who get an A on test 2
find the probability that more then 90% students got an A test 2
given that 85 % got an A on test 1
Given the following data (2, 5, 1, 0, 5, 0, 7, 2, 3)
Calculate the 3rd quartile from your "data".
What's the probability that a randomly selected number from
your data is even?
Consider the events A = "a randomly selected number from your
data is even" and B = "a randomly selected number from your data is
above the 3rd quartile". Are these events disjoint, independent,
neither, or both? Show your work.