Linear combination of matrices .

Answers

Answer 1

Multiplying a matrix by a scalar is equivalent to multiplying each entry in the matrix by that scalar:

[tex]A=\begin{bmatrix}0&-3\\-5&5\end{bmatrix}\implies3A=\begin{bmatrix}0&-9\\-15&15\end{bmatrix}[/tex]

[tex]B=\begin{bmatrix}-2&-6\\2&5\end{bmatrix}\implies-6B=\begin{bmatrix}12&36\\-12&-30\end{bmatrix}[/tex]

Now combine them:

[tex]3A-6B=3A+(-6B)=\begin{bmatrix}0+12&-9+36\\-15+(-12)&15+(-30)\end{bmatrix}=\begin{bmatrix}12&27\\-27&-15\end{bmatrix}[/tex]

Related Questions

write an equation to solve for x what is the value of x will mark brainious this is very confusing for me

Answers

Answer:

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180x = 20

Step-by-step explanation:

add all internal angles

∠H + ∠I + ∠J = 180

where:

∠H = 3x - 2

∠I = 4x - 9

∠J = 3x - 9

plugin the values into the ∠H + ∠I + ∠J = 180 formula:

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180

combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9

simplify: 10x = 200

divide 10 both sides: x = 20

4 A photographer enlarges a picture to
hang on the wall. The original picture is
5 inches long and 4 wide. The new
picture is 22 inches long and 17.6 inches
wide. What scale factor did the
photographer use?
I

Answers

Answer:

He enlarged the photo by 4.4 times than the original size.

Step-by-step explanation:

22/5=4.4

4.4*4=17.6

4.4*5=22

James enjoys spending money at the hardware store. He bought a wrench for $9.14, a nail gun for $54.48, and a pound of nails for $6.98. How much change did James get if he paid with a hundred-dollar bill? *

Answers

Answer:

$29.40

Step-by-step explanation:

29.40 dollars as 100 - the sum of the cost = 29.4

Ellie drove 13 miles in 2/5 hours. if she drove at a constant rate, how fair did she travel in one hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answers

Answer:i think its 3.25 miles

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

13÷2.5=5.2

Determine the degree of the polynomial.
8a9 – 2a + 1

Answers

Answer:

Determine the degree of the polynomial.

8a9 – 2a + 1

Step-by-step explanation:

8a9 – 2a + 1

Select the correct answer.
What is the factored form of t6 − p3?

A. (t2 + p)(t4 − pt2 + p2)
B. (t − p)2(t2 − pt + p2)
C. (t2 − p)(t4 + pt2 + p2)
D. (t − p)2(t2 + pt + p2)

Answers

It's the answer is C. (t2-p)(t4+pt2+p2)

RECO
Which expression is equivalent to 3x – 1/2y+2 2/3y-5/6x

Answers

Answer:

13 ( x + y ) / 6

Sienna earns $108 for working 9 hours. Ted earns $77 for working 7 hours. Colby earns $92
for working 8 hours. Jennifer earns $115 for working 10 hours. Who has the highest hourly
wage?

Answers

Answer:

Sienna

Step-by-step explanation:

Mike is 46 years old. He is 4 years older than three times his son, Jared's age. Find Jared's age.

Answers

you just divide 46 divided by 4 and ur answer is 11.5

Let xy=6 and x2 + y2 = 23 what is the value of (x+y)^2?
[Hint expand out (x+y)^2?]

Answers

Answer:

[tex](x + y) {}^{2} \\ = x {}^{2} + 2xy + y {}^{2} \\ = x {}^{2} + y {}^{2} + 2xy \\ = 23 + 2 \times 6 \\ = 23 + 12 \\ = 35 \\ \\ therefore \: the \: value \: \\ of \: (x + y) {}^{2} is \: 35.[/tex]

35 is the correct answer.....Hopes to get BRAINLIEST......

Thank you ☺️

Multiply. Write the answer in simplest form.
5/6 x 2/9

Answers

Answer:

5/27

Step-by-step explanation:

10 times as many as 2 hundred is 20 hundreds or 2 thousand

Answers

Answer:

2 thousand 10s

Step-by-step explanation:

What is the converse of the conditional statement?
If x is even, then x + 1 is odd.

A. If x is not even, then x + 1 is not odd.
B. lf x + 1 is odd, then x is even.
C. If x + 1 is not odd, then x is not even.
D. If x is even, then x + 1 is not odd.

Answers

Answer:

If x+1 is odd, then x is even B

Step-by-step explanation:

Conditional: If p, then q

Converse: If q, then p

p= x being even

q, x+1 being odd.

please help my daughter with this

Answers

Answer:

Recordings of their music.

Step-by-step explanation:

This is because there was no way to record music.

A is the correct answer I think so

Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.

Answers

Answer:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

Step-by-step explanation:

evaluate the expression 81-8^2

Answers

Answer:

Step-by-step explanation:

Do the exponent first, then subratct it to 81

Answer:

thats easy 17

Step-by-step explanation:

Four friends paid
for entrance to a
boil for $8 each.
They shared 2
bloody mary's that
were $6 each.
The expression:
(4 x 8 + 2 x 6) = 4
gives each
friend's share of
the cost.

Answers

Answer:

what question?

Step-by-step explanation:

there s nota a questoin

Ceftriaxone 125 mg IM. If I use 1 g/9.6 mL to fill the order, how many mL will I need

Answers

Answer: omg I- I tried but got nothing I’m sorry

Step-by-step explanation:

Sally wants to start a small business. She plans to sell snack packs by re-packing cookies and coffee sachets. Cookies come in packs of 10, while 3-in-1 coffee sachets come in packs of 12.
What is the smallest number of packs for each item should Sally buy if she wants to have packs with 1 cookie and 1 coffee sachet?

Answers

Answer: She needs 6 packs of cookies and 5 packs of coffee sachets.

Step-by-step explanation:

Cookies: come in packs of 10

Coffee sachets: come in packs of 12.

Sally wants to sell them in groups of 1 cookie and 1 coffee sachet, then we need to find a common multiple of 10 and 12. (the smallest one in this case).

To find the smallest common multiple, first let's find the largest common factor between 10 and 12.

If we write the numbers as a product of prime numbers, we have:

10 = 2*5

12 = 2*3*3

The only common factor is 2.

Then the smallest common multiple between 10 and 12 is equal to the product of 10 and 12 divided by the largest common factor between them, in this case is 2.

M = 10*12/6 = 60

Now to find the number of packages of each thing that she must buy, we need to divide 60 by the number of elements in each pack.

Cookies: 10 per pack

60/10 = 6

She needs 6 packs of cookies

Coffe: 12 per pack

60/12= 5

She needs 5 packs of coffee sachets.

If the snow is falling at a rate of 1 2/3 inches per hour, how many hours will it take to snow 12 inches?

Answers

Answer:

It'll take 7.2 hours

Step-by-step explanation:

(5/3)in 12in

--------- x --------

1 hr x hr

Cross multiply and you get

(5/3)x = 12

Then you divide 12 by (5/3) and you get that x = 7.2 hrs

Answer:

7.2 hours

Step-by-step explanation:

1 2/3 inches per hour = 5/3 inches per hour

12 inches = 36/3 inches

(36/3) / (5/3)

(36/3) x (3/5)

108/15

7.2 hours

What is the probability of getting orange
or blue and a multiple of 3?

Answers

Answer:

the answer is 1/2 because of the multiple of 3

I have no doors but I have keys, I have no rooms but I do have a space, you can enter but you can never leave. What am I?

Answers

Is it a computer keyboard?

Can you help me i will give you a branlist please

Answers

It is 3120 in total hope this helps

IA:B 7:8 an B:C 12:7 find A C in its simplest form.
b. 3:2
C. 19:6
a. 2:3
d. 4:5

Answers

Answer:

3:2

Step-by-step explanation:

A:B 7:8 an B:C 12:7 find A C in its simplest form.

ans;

3:2

Help math hv 30 minutes

Answers

Answer:

8 milk cartons and 4 dollars

Answer:

It's 8 milk cartons and 4 dollars/Price

Can someone help ? ASAP thanks

Answers

Answer:

2,5 then 17 20 then keep adding 15 for x and y

Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:

Answers

Answer:

Money = (1500)e^(0.06t)

t = num of months

Money = Money at end of that tiem period

6500 common math maybe do your work right

Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x

Answers

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two is,

Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1

The equation of the line can be written as,

y = -1x + C

substitute any one of the point in the equation,

0 = -1(5) + C

0 = -5 + C

C = 5

Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ1

The formula for converting miles into feet is F=5280m. If m=3, evaluate to find F, the number of feet in 3 miles

Answers

Answer:

15,840?

Step-by-step explanation:

if f=5280m and m=3 then 5280x3= 15,840

Good luck!

Allison and her classmates planted bean seeds at the same time as Yuki and her classmates in Tokyo did. Allison is video-chatting with Yuki about their class seedlings. Who should expect to have the taller plant at the end of the school year?

Answers

Answer:

probably yuki

Step-by-step explanation:

real fact

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The wind whipped as a bright flash filled the dark sky.3 "But not the perfect weather," Cora moaned.4 "That was thunder and that means rain. Rain means no camping," Josephine groaned.5 "I guess we can stop shopping!" Cora snapped. She began taking food out of the cart.6 As Josephine's father placed the food back in the cart, he told the girls not to give up on their campout. They paid for the food and went back to Josephine's house to wait out the storm.7 At dinnertime the sky remained dark gray as the rain continued to pour down outside. The girls sat in silence while they ate. Cora looked out the window and said sadly, "I can't believe it's still raining. Our campout was supposed to be perfect."8 Josephine nodded as she looked from her plate to the window. Josephine's father told the girls that just because something seems impossible doesn't mean it can't happen. He told them to finish eating, go upstairs, and get ready for the campout.9 They looked out the window and wondered how they could still have a campout. How would they stay dry? How would Josephine's father build a fire with wet wood? It was not possible that they could camp in the backyard. Josephine and Cora gathered their sleeping bags and games anyway. They walked slowly down the stairs.10 When the girls got to the bottom of the steps, they smiled. Josephine's living room looked like a forest. The chairs and tables were gone, and potted plants took their place. A fire crackled in the fireplace. Strings of tiny lights glittered like fireflies on the walls. Best of all, the tent was set up in the middle of the room. Josephine and Cora were going to camp after all!11 Josephine and Cora learned that the rain didn't have to spoil their fun. They didn't need to be outside to camp. They didn't need a real campfire to cook hot dogs or marshmallows. Josephine and Cora's indoor campout was perfect because they didn't give up on it.Read the passage on the left to answer the following questions:3) Which sentence BEST describes the theme of this story?A) If you're hopeful, the weather could improve. B) Don't give up when something seems impossible. C) Sometimes you have to change your plans. D) Facing the truth is always the best choice. 4) Which sentence BEST explains the lesson Josephine and Cora learned?A) Good friends are hard to find. B) Always look on the bright side. C) Spending time with family is important. D) Sharing with others is important.