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-BARSIC- [3]
2 years ago
6

Use the svd() function in MATLAB to compute , the rank-1 approximation of . Clearly state what is, rounded to 4 decimal places.

Also, compute the root mean square error (RMSE) between and .
Mathematics
1 answer:
Afina-wow [57]2 years ago
7 0

Answer:

Here is the Matlab code.

Step-by-step explanation:

Matlab Code:

A = [1 2 2;3 4 5;6 7 8]\\[U,S,V] = svd(A)u1 = U(:,1)\\u2 = U(:,2)\\u3 = U(:,3)\\d1 = dot(u1,u2)\\c = cross(u1,u2)\\d2 = dot(c,u3)

d1 =-    5.5511e-17\\c =   -0.7172    0.6643   -0.2103\\d2 =        1  

Yes, since c = cross(u1,u2) is orthogonal to both u1 and u2. Hence is u3, thus the dot product with u3 is 1.

You might be interested in
Find the difference. (k2−7k+2)−(k2−12)
Ostrovityanka [42]

Answer:

-7k + 14

Step-by-step explanation:

(k² - 7k + 2) - (k² - 12)

k² - 7k + 2 - k² + 12

k² - k² - 7k + 2 + 12

-7k + 14

3 0
1 year ago
6 questions = 30 points someone please help me
eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = 2\pi rL

Area of the parts that cover the open parts of cylinder = 2\pi r^2

Therefor Total are of the cylinder = 2\pi rL+2\pi r^2

Area of the total cylinder = 2*3.14*6.8*14.2+2*3.14*6.8^2

                                          =896.784

<u>Therefor best estimate will be D) 923 in^2</u>


Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

(AC)^2+(CB)^2=(AB)^2

The distance from A to C = 6

The distance from C to B = 5

(AC)^2=6^2=36

(CB)^2=5^2=25

(AC)^2+(CB)^2=(AB)^2=36+25=61

Therefor (AB)^2=61\\(AB)=\sqrt{61}

<u>Therefor Answer is D) Sqr 61</u>

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 =\frac{1}{2} *(110+40)*110=8250

Area of the Store 2=\frac{1}{2} *110*80=4400

Therefore Revenue from Store 1 = $8250

                 Revenue from Store 2 = $4400

<u>Answer is A) Store 1  has more sales revenue</u>

Answer for Question 4

\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

\frac{11}{23} =0.4782, therefor this is not in between those two numbers.

Then it has to be \frac{115}{264} =0.4356

<u>Answer is B)</u>


Answer for question 6

The equation of a straight line is of the form y=mx+c

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2

Therefor the equation of the graph is,

y=2x+1

<u>Answer is C</u>

Answer for question 7

\frac{7}{8} =0.875

\frac{6}{9} =0.67

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

\frac{53}{72} =0.73, This falls between the above 2 numbers.

<u>Therefor answer is C</u>


5 0
2 years ago
Verify the continuity type C° and C1 between curve(l) and curve(2).
Damm [24]

Step-by-step explanation:

to be honest I'm not sure how to do

Comment

6 0
2 years ago
Find the functions y-intercept algebraically
grigory [225]
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve y. Hope this helped! :)
3 0
2 years ago
Mindy and Daisy are making necklaces using beads. Mindy uses 4 red beads for every 5 white beads. Daisy uses 6 red beads for eve
makvit [3.9K]

Answer:

Daisy

Step-by-step explanation:

Daisy:

12/4=3

3*5=15 white beads

Mindy:

12/6=2

2*7=14 white beads

7 0
2 years ago
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