Compute the determinant of A, where A= a 4x4 matrix [1 -3 0 0; 2 1 0 0; 0 0 1 2; 0 0 2 1] a 4x4 matrix [2 5 4 2; 0 0 0 2; 0 -3 0 -4; 1 0 -1 1] and a 4x4 matrix [1 -3 0 0; 2 1 0 0; 0 0 1 2; 0 0 2 1]^-1.

a) det(A)= -36

b) det(A)= 5

c) det(A)= 0

d) det(A)= -13

e)det(A)= 36

Using JavaScript for the following assignment

Design and code a function named "intersection" that

takes two arrays of numbers in parameter and returns a new

array containing only the values that are both in the

two arrays. A value must not be found more than once in

the resulting array but can be found more than once in

the arrays in parameter. The order of the elements in the resulting array

must respect the order of the first parameter. For example :

      intersection ([3, 1, 4, 1, 5], [2, 4, 4, 3])

must return [3, 4].

You also need to design and code a unit test function and

call it. To test that the result of

      intersection ([3, 1, 4, 1, 5], [2, 4, 4, 3])

which returns [3, 4], you can use a test like this:

      assert (intersection ([3, 1, 4, 1, 5], [2, 4, 4, 3]) == "3,4");

This works because the == operator does the automatic conversion

from arrays to text (if one of the two operands are a text).

In JAVA

Use a two-dimensional array to solve the following problem:

A company has four salespeople - Sales Person 1, Sales Person 2, Sales Person 3, and Sales Person 4.

The company sells 5 products - Product 1, Product 2, Product 3, Product 4, and Product 5.

Each day, a sales person hands in a slip with the following information: Sales Person Number (1,2,3, or 4), Product Number (1,2,3,4, or 5), and dollar value of that product sold. This dollar value should be entered in the appropriate place in the multi-dimensional array with rows representing sales person (1-4) and columns representing products (1-5). Keep asking for data input until -1 is entered for the sales person number (sentinel).

Output: Your output should reflect the array in tabular format ALONG with cross-sectional totals. For example, your program should look something like this:

Enter Sales Person Number (1-4) or -1 to quit and view data:

1

Enter the Product Number (1-5):

1

Enter the dollar value:

1000

Enter Sales Person Number (1-4) or -1 to quit and view data:

2

Enter the Product Number (1-5):

1

Enter the dollar value:

2000

Enter Sales Person Number (1-4) or -1 to quit and view data:

2

Enter the Product Number (1-5):

2

Enter the dollar value:

500

Enter Sales Person Number (1-4) or -1 to quit and view data:

-1

Sales Person      Product 1     Product 2    Product 3   Product 4    Product 5    Sales Person Totals

              1            1000                 0                   0                  0            0                          1000

              2            2000             500                   0                  0              0                          2500

              3                  0                 0                   0                  0              0                               0

              4                  0                 0                   0                  0              0                               0

_____________________________________________________________________________

Product Totals    3000              500                   0                  0              0

Which one or more of the following are possible parent-child combinations?

Combination. Mothers blood type. fathers Blood type. Baby blood type

1 o. o. a

2. o. b. o

3. a a. o

4. B. AB. A

Page Replacement Algorithms. Consider the following page reference stream and 3 page frames: 0 1 2 3 2 4 3 1 1 5 2 4 6 3 3 4 6 3 4 7.
For the MIN, FIFO, and LRU algorithms, show the contents of the page frame after each reference, and then compute the total number of page faults, divided in to cold misses and other misses.

On Z we consider the family of sets τ = {Z, ∅, {−1, 0, 1}, {−2, −1, 0, 1, 2}, . . . }

where the dots mean all sets like the two before that.

a) Prove that τ is a topology.

b) Is {−4, −3, −2, −1, 0, 1, 2, 3, 4} compact in this topology?

c) Is it connected?

d) Is Z compact in this topology?

e) Is it connected?

Consider the following time series data.

1. Which one of the following lists puts the events below in the correct order?

1. bipolar cells depolarize

2. glutamate release from the photoreceptor cell decreases

3. light strikes photoreceptor cells

4. photoreceptor cells are depolarized

5. photoreceptor cells are hyperpolarized

1,2,3,4,5               b. 2,4,3,5,1          c. 3,4,2,5,1           d. 4,3,5,2,1          e. 5,3,4,1,2

2. A sound wave is headed toward your ear. In which order would the signal travel through the following structures as it traveled to the auditory nerve? The structures, in alphabetical order are: (1) basilar membrane; (2) ear canal; (3) hair cells; (4) malleus, incus & stapes; (5) oval window; (6) pinna; (7) tympanic membrane
   1. 6, 7, 2, 4, 1, 3, 5
   2. 6, 7, 4, 2, 5, 1, 3
   3. 6, 2, 4, 7, 1, 3, 5
   4. 6, 2, 7, 4, 5, 1, 3
   5. 7, 2, 6, 4, 5, 1, 3
   6. 7, 2, 6, 5, 4, 3, 1

3. The series of membrane channels that surrounds and virtually covers each myofibril is the
   1. sarcolemma   b. sarcomere     c. sarcosome      d. sarcoplasmic reticulum             e. sarcoplasm
4. How many motor neurons control a typical skeletal muscle?
   1. zero                       b. exactly one                    c. a few                 d. many
5. What kind of a joint would allow for BOTH flexion and abduction, but not rotation?

a. ball and socket                  b. condylar          c. hinge                d. pivot