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:...
Consider the following reference string:
7, 0, 1, 2, 0, 3, 0, 4, 2, 3, 0, 3, 2, 1, 2, 0, 1, 7, 0, 1
Find the number of Page Faults with FIFO, Optimal Page
Replacement, and LRU with four free frames that are initially
empty. Which algorithm gives the minimum number of page faults?
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