Suppose that A, B, C, D, and E are matrices with the following sizes:
A B C D E
(4x 1) (4 x 1) (1 x 2) (2 x 1) (1 x 4)
Determine whether the matrix expression E (3B + A) is defined. Matrix is defined Enter the size of the resulting matrix (enter 'NA in each box if undefined).
E (3B + A) is a 3 X 3.

Answers

Answer 1

Answer:

The expression E (3B + A) is defined. The size of the resulting matrix is (1 x 1).

Step-by-step explanation:

Let's consider the following operations between matrices.

E (3B + A)

B is a matrix of (4 x 1), that is, it has 4 rows and 1 column. Let F = 3B. This is the product of a scalar by a matrix, which results in a matrix of the same size as the original. Then, F is a matrix of (4 x 1).

Now, let's consider the sum F + A, which we well call G. We can sum F and A because they are of the same size and we will get G, a matrix of the same size, (4 x 1).

Finally, we have the product E . G. We can multiply 2 matrices of sizes (m x k) and (k x n), that is, the number of columns of the first matrix must be equal to the number of rows of the second matrix, and the resulting matrix has a size (m x n). This is the case because E is (1 x 4) and G is (4 x 1), and the resulting matrix will be (1 x 1).


Related Questions

Lin drew this set of axes and plotted the points A=(1,2), B=(-3, -5), C=(5,7), D=(-4, -3), and E=(-4, 6) on them. Identify her mistakes! Which points were plotted incorrectly?

Answers

Answer:

B=(-3, -5)

Step-by-step explanation:

I need help badly and don't send no links or you will be reported

Answers

Answer: - 3/2

Step-by-step explanation:

Use this formula to find the slope for any two given points.

(4, 3) and (6, 0)

↓   ↓            ↓  ↓

x1  y1           x2 y2

y2 - y1     0 - 3      

--------- = ---------- = -3/2

x2 - x1      6 - 4

Hope this helped! :)

if the radius of an argon atom is 0.0000000000098m, write in scientific notation​

Answers

Answer:

90

Step-by-step explanation:

0.0000000000098 = 9.8 x 10⁻¹²

you have it $15 for the movie the cost of a movie ticket is $3 write an inequality to show how much money you can spend on treats.​

Answers

Answer:

$3+x is less than or equal to $15

Step-by-step explanation:

I can't write the sign but it's < with a line under it

Step-by-step explanation:

y≥15-3

I am not sure

PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?

Answers

Answer:

Pyramid Surface Area = .5 * Perim of Base * Slant Height

Slant Height^2 = 144^2 + 140^2

Slant Height^2 = 20,736 + 19,600

Slant Height^2 = 40,336

Slant Height = 200.8382433701

Surface Area = .5 * perim of base * slant height

Surface Area = .5 * 1,200 * 200.8382433701

Surface Area = 120,503 square meters

Source = www.1728.org/volpyrmd.com

Step-by-step explanation:

A cylindrical can is to be constructed for 80 cents. The cost of the material used for the top and the bottom is 3 cents per square inch, and the cost of the material used for the curved side is 2 cents per square inch. Express the volume of the can as a function of its radius. (Recall the volume of a cylinder is V

Answers

Answer:

V = r(40 - 3πr²)/2

Step-by-step explanation:

We know the area of a cylinder, A = 2πr² + 2πrh where r = radius and h = height.

Now, 2πr² = area of top and bottom and 2πrh = curved surface area

Since the cost of material for the top and bottom is 3 cents per square inch, the total cost of the materials for top and bottom = cost of material × area = 3 × 2πr² = 6πr²

Also, the cost of material for the curved is 2 cents per square inch, the total cost of the materials for the curved side = cost of material × area = 2 × 2πrh = 4πrh

The total cost of material = 6πr² + 4πrh

Since the total cost of material = 80 cents,

6πr² + 4πrh = 80

3πr² + 2πrh = 40  (1)

Now, the volume of a cylinder, V = πr²h

From (1), making h subject of the formula, we have

3πr² + 2πrh = 40  

2πrh = 40 - 3πr²  

h = (40 - 3πr²)/2πr

Substituting h into V, we have

V = πr²h

V = πr² (40 - 3πr²)/2πr

V = r(40 - 3πr²)/2

x^2=-28 square root method

Answers

Answer:

  2i[tex]\sqrt{7}[/tex],-2i[tex]\sqrt{7}[/tex]

I’m confused can somebody answer this?

Answers

14 is the asnwer because sqaure root of 200 is 14.14213562 and if you round that it is 14

The square root of 200 is around 14.14 so it’d be in between 14 and 15

6th grade, the problem solving is on the image

Answers

Answer:

y = x + 3

Step-by-step explanation:

Equation of the line can be written as y = mx + b (slope-intercept form)

Let's find the slope (m) and the y-intercept (b)

Slope (m) = change in y/change in x

Using two points on the line, (0, 3) and (1, 4),

Slope (m) = (4 - 3)/(1 - 0) = 1/1

m = 1

y-intercept (b) = 3 (the coordinate of the point where the y-axis is intercepted by ye line)

To write the equation, substitute m = 1 and b = 3 into y = mx + b

y = 1(x) + 3

y = x + 3

3 9 26
a. Use eoch digit once, make the smallest 4-digit number:
b. Use each digit once, moke the largest 4-digit number :
c. You can use one diga twice, make the smallest 4-digit number:
c. You con use one digit twice make the largest 4-digit number
.​

Answers

a. 2369
b. 9632
c. 2236
d. 9963

HELP ASAP will give brainist

Answers

what is the probability that the third spinner lands on a perfect square or a gray space?

6/12 or 1/2

Answer:

There are 6 gray spaces (12, 2, 4, 6, 8, 10) and 3 perfect squares (4, 9, 1). However, 4 is repetitive (it is gray and a perfect square) so there are only 8 we want. There are 12 numbers/spaces in total. The probability formula is (# of desired outcomes)/(# of total outcomes). In this case, there are 8 desired outcomes and 12 total outcomes. So, our answer is 8/12, or 2/3.  

Answer Choices:
A. 0.26
B. 0.56
C. 0.52
D. 0.31

If you answer back with a link your comment will be reported.

Answers

The best answer to go with is b

If Rashid faces north and then turns clockwise half a turn, in which direction does he face

Answers

if he turns clockwise half a turn, he would be face north east

Answer:naneeeeee

Step-by-step explanation:

What is the value of n in the equation shown below?
2² x 21 = (24)3

Answers

Answer:

4

Step-by-step explanation:

i hope this helped :]

4 behejdjsooajdjsowndjsjsjdbdjd

Jamal borrowed $316 for nine months. He paid it off by paying $38.27 monthly.
What will he pay in finance charges?

Answers

$28.43 is the answer

The finance charge payed by Jamal is $28.43.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Amount borrowed by Jamal for nine months = $316

His monthly payment = $38.27

Total amount payed by Jamal for nine months = [tex]9(38.27)[/tex]

⇒ [tex]\$344.43[/tex]

Thus his finance charge = [tex]344.43-316[/tex]

⇒ [tex]\$28.43[/tex]

Hence we can conclude that the finance charge payed by Jamal is $28.43.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

Third one (Probably two or one more left)

Answers

the area of the figure is 235

6×25= 150

17×5= 85

150+85= 235

the answer is 235 :3

The weights of 11 swimmers in the team were recorded by the coach and the average
weight was 86 pounds. Three swimmers whose weights were 88 pounds, 79 pounds,
and 83 pounds left the team. What was the new average?

Answers

Answer:

87

Step-by-step explanation:

87 x 11= 946

946-88-79-83=696

696/8 = 87

Solve for xx. Round to the nearest tenth, if necessary.

Answers

Step-by-step explanation:

S+T+U=180°{sum of angle of triangle}

68°+90°+U=180°U=180-158°U=22°

sin theta= p/h

sin22°=x/83

o.37=x/83

x=0.37×83

x=30.71

x=31

stay safe healthy and happy.

What is the equivalent radian measure for the angle 53?

Answers

9514 1404 393

Answer:

  D  (53π)/180

Step-by-step explanation:

There are π/180 radians in 1 degree, so in 53°, there are ...

  53(π/180) radians = (53π)/180 radians

Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 nanoseconds. What is this number expressed in scientific notation?

Answers

Answer:

1.6 * 10^{-8}

Step-by-step explanation:

Given the following data;

Time = 0.000000016 nanoseconds

To express in standard scientific notation;

Scientific notation is a standard way of expressing very large numbers in powers of 10.

0.000000016 nanoseconds = 1.6 * 10^{-8} nanoseconds.

Note: count the number of zeros (0s) before 1 and write it to the power of 10.

Answer:

the correct answers are 1.6E-8 and 1.6 × 10-8

Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 50 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using Minitab, resulting in the accompanying output.
Variable N Mean St Dev SEMean Z P -Value
lifetime 50 738.44 38.20 5.40 -2.14 0.016
What conclusion would be appropriate for a significance level of .05? A significance level of .01? What significance level and conclusion would you recommend?

Answers


What is today date please tell me

Help with Math Question 1

Answers

Answer:

Step-by-step explanation:

X is also 67°  Like the interior angle

find the slope of the line
(2,5) and (0,5)​

Answers

Answer:

y=5

Step-by-step explanation:

Plugging in the two points.

(2,5). y=mx+b or 5=0 × 2+b, or solving for b: b=5-(0)(2). b=5.

(0,5). y=mx+b or 5=0 × 0+b, or solving for b: b=5-(0)(0). b=5.

Hence, equals to y=5

if there 10 students and 2/5 play soccer how many students play soccer?

Answers

Answer:

4

Step-by-step explanation:

2 out of 5 play so if there is 10 students 10*2/5 = 4 students

Answer:

4 students would play soccer

Step-by-step explanation:

To make the total students 10 instead of 5 we multiply the information by 2. 2/5 times 2 equals 4/10. So 4 out of 10 studento play soccer

The profit, P, realized by a company varies directly as the number of products it sells. If a company makes a profit of $7800 on the sale of 325 products, what is the profit when the company sells 5000 products?
A.80000
B.100000
C.120000
D.60000​

Answers

Answer:

C) 120,000

Step-by-step explanation:

Let's use fractions.

7800 = x

---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.

39,000,000 = 325x

----------------- --------

325 325

Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.

39,000,000 /325 = 120,000

325x / 325 = x

x = 120,000

Select the correct answer.
What is the product of ?
A.

B.

C.

D.

Answers

Answer:

c the answer is c

Step-by-step explanation:

Answer:

C

I hope this helps

Simplify the expression using order of operation (11 - 8)^3 - 2 x 6

Answers

Answer:

500

Step-by-step explanation:

(11-3)^3-2x6

first evaluate 11-3-->8

then cube it-->8^3=512

then multiply 2x6-->12

then subtract the two-->512-12=500

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{Just do PEMDAS}[/tex]

[tex]\huge\textsf{Parentheses}[/tex]

[tex]\huge\textsf{Exponents}[/tex]

[tex]\huge\textsf{Multiplication}[/tex]

[tex]\huge\textsf{Division}[/tex]

[tex]\huge\textsf{Addition}[/tex]

[tex]\huge\textsf{Subtraction}[/tex]

[tex]\mathsf{(11 - 8)^3 - 2\times 6}[/tex]

[tex]\mathsf{11 - 8 = \boxed{\bf 3}}[/tex]

[tex]\mathsf{3^3 - 2 \times 6}[/tex]

[tex]\mathsf{3^3 = 3\times 3\times 3 = 9\times 3 = \boxed{\bf 27}}[/tex]

[tex]\mathsf{27 - 2 \times6 }[/tex]

[tex]\mathsf{2\times 6 = \boxed{\bf 12}}[/tex]

[tex]\mathsf{27 - 12}[/tex]

[tex]\boxed{\mathsf{\bf= 15}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 15}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

4) A bowl contains 8 red balls and 7 blue balls. One is drawn at random
and not replaced. A second ball is then drawn. What is the probability
that the first ball is blue and the second is red?

Answers

First ball blue: 7/15
Second red: 8/14

will give brainliest ASAP PLEASE HELP!

Answers

Answer:

7k+7

41

Step-by-step explanation:

Distribute the 7 -

7(k+1)

7 * k = 7k

7*1 = 7

so 7k + 1

Insert 3 instead of x, so it reads -

[tex]5[/tex][tex](3)^{2}[/tex] - 4

[tex]3^{2} = 9[/tex]

9 * 5 = 45

45 - 4 = 41


The spinner has 8 congruent sections. What is the probability of
spinning a number divisible by 3 two times in a row?

Answers

Answer:

1/16 or 0.0625

Step-by-step explanation:

There are two numbers on the chart that are divisible by 3.

So the odds of spinning and getting one of those on the first try would be 2/8 or 1/4.

The odds are then multiplied by the chance of spinning it again on the second try, which would still be 1/4.

To get: 1/16

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