Matrices C and D are shown below C= 2 1 0 0 3 4 0 2 1 D= a b -0.4 0 -0.2 0.8 0 0.4 -0.6 what values of a and b will make the equation CD = l true?

Answers

Answer 1

The question is incomplete. Here is the complete question

Matrices C and D are shown below:

[tex]C=\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex]     [tex]D=\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex]

What values of a and b will make the equation CD = I true?

(i) a = 0.5

  b = 0.1

(ii) a = 0.1

    b = 0.5

(iii) a = -0.5

    b = -0.1

Answer: (i) a = 0.5

                  b = 0.1

Step-by-step explanation: Identity Matrix (I) is a n x n square matrix with the number 1 on the main diagonal and 0 everywhere else.

The question asks for multiplication of matrices, i.e.:

[tex]\left[\begin{array}{ccc}2&1&0\\0&3&4\\0&2&1\end{array}\right][/tex]  .   [tex]\left[\begin{array}{ccc}a&b&-0.4\\0&-0.2&0.8\\0&0.4&-0.6\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]

To multiply matrices, the number of columns of the 1st matrix must be the same as the number of rows of the 2nd.

Matrix C is a 3x3 square matrix and so is matrix D, so, values of a and b:

[tex]2a=1[/tex]                           [tex]2b-0.2=0[/tex]

[tex]a=\frac{1}{2}[/tex]                            [tex]2b=0.2[/tex]

a = 0.5                          [tex]b=0.1[/tex]

For the equation CD=I be true, a and b has to be 0.5 and 0.1, respectively.


Related Questions

PLz help anwser this

Answers

Answer: The slope is 0

Step-by-step explanation:

A vegetable garden is 12 meters long by 7 meters wide. In one square meter, you count two toads. Estimate the population of toads in the garden.

Answers

Answer: 168 toads

Step-by-step explanation:

First we need to find the area of the garden. Area = length x width

Area = 12m x 7m = 84 m²

2 toads/ 1 sq m

84(2) = 168

Solve for y: 3(4y – D = 2(5y + ż).
The solution is y =
The solution is

Answers

Answer:

12y-10y=2z-2D

2y=2z-3D

Divide both sides by 2

Y=z-3D

Absolutely

−1/2−(−5/9)= need it asap

Answers

Answer:

1/18

Step-by-step explanation:

-1/2 + 5/9 =

-9/18 + 10/18 = 1/18

Answer:

1/18

Step-by-step explanation:

the ratio of boys to boys to girls in a class is 5:3.There are 32 students in the class.How many more boys than girls are there.

Answers

Answer:

8 more boys

Step-by-step explanation:

5 + 3 = 8

32 ÷ 8 = 4

5 × 4 = 20

3 × 4 = 12

20 - 12 = 8

If P=5x^4+4x-3 and Q=5x^4+3x^3-4x+3, what is p - q

Answers

Answer:

-3x^3+8x-6

step

p-q=5x^4+4x-3-(5x^4+3x^3-4x+3)=5x^4+4x-3-5x^4-3x^3+4x-3

=5x^4-5x^4-3x^3+4x+4x-3-3

=-3x^3+8x-6


Emily wants to start a cell phone plan with AT&T. The company charges a set-up fee of
$39.99 and a monthly charge of $79.99 for the plan Emily wants to buy. Choose the
equation that models Emily's total cost C after m number of months.
C = 79.99 - 39.99m
O C = 39.99 + 79.99m
C = -79.99 - 39.99m
C = 79.99 + 39.99m

Answers

Answer:

39.99+79.99m

Step-by-step explanation:

She has to pay 39.99 and 79.99 times (m) months

apply the distributive property to write an equivalent expression 21b + 28c​

Answers

Answer:

7(3b + 4c)

Step-by-step explanation:

21b + 28c

First, find the common factor of the coefficients (21 and 28).

GCF is 7.

Next, divide out 7 from the equation.

(21b + 28c)/7 = 3b + 4c

Now put the 7 outside of the parenthesis.

7(3b + 4c)

Hope this helped! <3

A store has jeans on sale for 30% off. If the jeans
originally cost $40, how much will you spend on the jeans
after the discount and sales tax (8%)?

Answers

Answer:

$30.24!

Step-by-step explanation:

Find the discounted price by setting up an equation

40-.3(40) AKA 30% of the original price is being taken off of the original price

Evaluate

40-12

$28 = discounted price

Sales tax is based on the reduced/discounted price* remember this

OF= multiplication (in this scenario)

.08x28

$2.24= sales tax

Add tax with discounted price

28+2.24=

$30.24!

is it possible for an object to have more than one input value, but only one output value

Answers

Answer:

We conclude that it is possible for an object to have more than one input value, but only one output value.

Step-by-step explanation:

Yes, it is possible for an object to have more than one input value, but only one output value.

For example, considering the table having 'name' as the 'input' and the output as 'age'.

Name of Relatives                Age (years)

Mr A                                       13

Mr B                                       14

Mr C                                       13

Mr D                                       15

Here, Each input has only input. But, multiple relatives can have the same age.

Here, Mr A and Mr C have the same 13 years age. This table represents a function.

Therefore, we conclude that it is possible for an object to have more than one input value, but only one output value.

Please help me i rly need this

Answers

The answer is B because the first number in those points don’t repeat but all the other ones have the first number repeating

Grant rents a car to visit family. The closest
rental company charges $40 a day plus $0.30
per mile. Grant is not able to spend more
than $150 for the rental and he needs the
car for 2 days. Write an inequality that can
help Grant determine how many miles, m, he
could travel on his budget
.Use the number line to represent the solution to the inequality written.

Answers

Answer:

I can't see the photo you linked its black and blank.

Step-by-step explanation:

Answer: where the pic at

Step-by-step explanation:

A woman begins planting her garden at 10:20 am. It takes her 5 ! "# hours to finish getting all of her flowers planted. She needs to shower and get ready for a dinner engagement at 5 pm. If her she needs 1 $ % hours to shower and get ready, will she make it on time?

Answers

Answer:

She will be ready, and she will make it on time.

Step-by-step explanation:

Given:

[tex]Start\ Time = 10:20\ am[/tex]

[tex]Planting = 5\ hours[/tex]

[tex]Shower = 1\ hour[/tex]

Required

Will she be ready by 5pm?

First, we calculate the time spent in planting and taking shower.

[tex]Time\ Spent = Planting + Shower[/tex]

[tex]Time\ Spent = 5\ hours + 1\ hour[/tex]

[tex]Time\ Spent = 6\ hours[/tex]

Next, we calculate the end time. i.e. the time she'll finish these tasks.

[tex]End\ Time=Start\ Time + Time\ Spent[/tex]

[tex]End\ Time=10:20\ am + 6\ hours[/tex]

[tex]End\ Time=04:20\ pm[/tex]

Since 04:20 pm is less than 5pm, then she will be ready, and she will make it on time.

find the area please

Answers

Answer:

C.30

Step-by-step explanation:

area of a triangle is 1/2 the base times the height

what is an equation, in standard form, of the line through (1,7) and (-2, -3)?

Answers

Answer: -23

Step-by-step explanation:

Step-by-step explanation:

The equation of a line is 6x-2y=12. find the x-intercept and the y-intercept. a. x = -2 , y= 6 b. x = 2 , y= -6 c. x = -2 , y= -6 a. x = 2 , y= 6 which shows the line 3x -2y = -18 in slope-intercept form? y=3/2x+9 y=2/3x+9 y=-3/2x-9 y=2/3x-9 a line passes through the point (-1,3) and has a slope of -2. what is the equation of the line in slope-intercept form? y=2x+5 y=-2x+5 y=2x+1 y=-2x+1 a line passes through the points (1,7) and (-4,-3). what is the equation of the line in standard form? 4x-2y=10 4x+2y=10 4x-2y=-10 4x+2y=-10 which points are a solution to the inequality < −3+4? (choose all that apply) (select all that apply.) (0,4) (-2,7) (3,-4) (-1,-5)

What is 6,374 in expanded form?

Answers

Answer:

6000+300+70+4

Step-by-step explanation:

6000 plus 300 =  6300

70 plus 4= 74

6300+74=6374

Answer:

6,000

+  300

+     70

+       4

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

6, 3 7 4

Step-by-step explanation:

Please help due in 10 minutes

Answers

B-I hole this helps like if I’m right

Answer:  The number is 14   ,  look into the steps for more explanations.

Step-by-step explanation:

Twice the sum of a number and seven  is three times the number .  

in this case we will represent that number  by the variable x.

The sum of x and 7  is      x+7  

Twice that will be     2(x +7)  

That has to equation  three times the number which will make it

2(x+7) = 3x    Now solve for x to find the number  by distributing

2x + 14 = 3x           Subtract 2x from both sides

 2x          -2x

 14 = 1x              Divide both sides by 1

x = 14

What does the fact that the expressions are equivalent mean?

Answers

Answer:

The fact that the expressions are equivalent means that for any value of the variables, the two expressions have the same solution.

Step-by-step explanation:

Answer:

if they have the same value irrespective of the value of the variable(s) in them

help me please :) .....

Answers

Answer:

at + vi = vf

Step-by-step explanation:

In order to solve for vf, we need to isolate said variable.

a = vf - vi/t (Given)

at = vf - vi (Multiply t on both sides)

at + vi = vf (Add vi on both sides)

How to isolate the varible ‘x’
Show work.

-3x + 12y = 12

6x - 9y = 18

-6x + 2y = -4

6x + 3y = 3

3x - y = 4

-3x + 2y = -17

-6x + 3y = -30

7x + 6y = 16

4x - 2y = 1

16x + 5y = -2

4x - y = -2

Answers

Just do the opposite of what is on the X side of the = to isolate X

Working at a Restaurant in Downtown Charlotte:

Katie earns $77 for working 7 hours.

Matthew earns $92 for working 8 hours.

John earns $108 for working 9 hours.

Patrick earns $115 for working 10 hours.

Who has the highest hourly wage?

Answers

Answer:

John would have made the most per hour at 12$ per hour (no taxes included)

Step-by-step explanation:

115/10=11.5$ per hour

108/9=12$ per hour

92/8=11.5$ per hour

77/7=11$ per hour

so john making 108$ for 9 hours he has the highest hourly wage.

Which determines this shape?

Answers

Answer:

kite

Step-by-step explanation:

because of the say they are perpendicular

Estimate 48% of 60 is a.3000 B.300 C.30 D.3

Answers

Answer:

I'm pretty sure it's C

Step-by-step explanation:

Well if you type 48% of 60 into a calculator it will give you 28.8

Since it says to estimate it, It will be C. because 30 is the closest estimate to 28.8

A 4 metre long ladder is placed against a wall. The angle between the ladder and
the ground is 75°. How far up the wall does the ladder reach?
How do you do this?

Answers

Answer:3.86 m

Step-by-step explanation:

Given

Length of ladder L=4 m

angle made by ladder and the ground is [tex]\theta=75^{\circ}[/tex]

we will use trigonometry here

from the figure, we can write

[tex]\sin 75^{\circ}=\dfrac{x}{L}\quad [\text{where, x=distance of the ladder from the ground}][/tex]

[tex]\Rightarrow x=L\sin 75^{\circ}\\\Rightarrow x=4\sin 75^{\circ}=3.86\ m[/tex]

help pls :(
Which pair of expressions is equivalent using the Associative Property of Multiplication?

Answers

Answer:

The pair of expressions in the options 'b' and 'c' is equivalent using the Associative Property of Multiplication.

Hence, options b and c are correct.

Step-by-step explanation:

The associative property of multiplication defines that when we multiply, we can group the numbers in any combination.

a × (b × c) = (a × b) × c

For example,

4 × (6 × 8) = (4 × 6) × 8

In our case, now, if we analyze the options 'b' and 'c'

5 (3a · 4) = (3a · 4) · 5

5 (3a · 4) = (5 · 3a) · 4

It is clear that both the expressions are equivalent using the Associative Property of Multiplication as we have discussed earlier.

Thus, the pair of expressions in the options 'b' and 'c' is equivalent using the Associative Property of Multiplication.

Hence, options b and c are correct.

Mike paid $32 for a sult Jacket that had been marked down 40% from its original price, What was the original price.

Answers

Answer:

The answer is $44.80

Step-by-step explanation: First, you need to find the how much 40% of $32 is:

32 x .40 = 12.80

Then, you add 12.80 to $32.

$32 + $12.80 = $44.80

Answer: 44.8$

Step-by-step explanation:

What you have to do is find 40% of 32. (it is 12.8) add 12.8 to 32. You get 44.8

Sara needs to buy a gallon of milk for $3.98, a dozen eggs for $2.75, and paper towels for $3.87. Sara said she needs $10 to pay for all the items. Is her answer reasonable? *

Answers

Answer:

No

Step-by-step explanation:

$3.98 + $2.75 + $ 3.87 ≠ $10

$3.98 + $2.75 + $ 3.87 = $10.60

Find the like terms.Please help..Please...3x-2y-3x

Answers

Answer:

The like terms would be 3x and -3x.

Step-by-step explanation:

If you add the like terms together you would get 0x and be left with -2y.

Solve for x in the diagram below.

Answers

Answer: 5x + (x + 54) = 6x + 54

So now 6x + 54 = 90 because u are solving a right angle.

90 - 54 is 36. So 6x = 36 and 36 divided by 6 is 6. Your answer for X = 6 Hope this helps you please mark brainliest

Step-by-step explanation:

determine the equation of the line​

Answers

Answer:

y = x + 2

Step-by-step explanation:

sgshsbkabakqsbshajab

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