NO FILES NO LINKS ASAP

Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.

To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.

For the left inverse, we have

[tex]LA=I[/tex]

[tex](LA)A^\top = IA^\top[/tex]

[tex]L\left(AA^\top\right) = A^\top[/tex]

[tex]\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]LI = A^\top \left(AA^\top\right)^{-1}[/tex]

[tex]L = A^\top \left(AA^\top\right)^{-1}[/tex]

We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.

[tex]AR=I[/tex]

[tex]A^\top(AR)=A^\top I[/tex]

[tex]\left(A^\top A\right)R = A^\top[/tex]

[tex]\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]IR = \left(A^\top A\right)^{-1} A^\top[/tex]

[tex]R = \left(A^\top A\right)^{-1} A^\top[/tex]

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

Answer:

( - ∞, ∞ )

Step-by-step explanation:

The domain of the function is all values of x , that is

- ∞ < x < ∞ , or in interval notation

(- ∞, ∞ )

Answer: $1.80

Step-by-step explanation:

10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.

Answer:

C.40%

Step-by-step explanation:

Answer:

Your answer would be 40%.

Step-by-step explanation:

If the pizza was cut into 10 pieces, each piece would equal 10%. Therefore, since she had ate 4 pieces, she had eaten 40% of the pizza.

Answer:

none

Step-by-step explanation:

[tex] = 5 {x}^{2} + 3x - 2 {x}^{2} - 6x + 13 \\ = 3 {x}^{2} - 3x + 13[/tex]

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

move constant

x+7 ≥ 12

subtract

x≥ 12-7

solution

x ≥ 5

Answer:

9

Step-by-step explanation:

If the two of you can wash 1 car in 6 minutes:

It will take you 10 minutes to wash the car alone

take your friend 15 minutes to wash the car alone

Let the duration you can work be represented by y

Let the duration your friend can work be represented by x

You can wash a car 1.5 times as fast as your friend

That is, y = 1.5x

Working together, the two of you can wash 1 car in 6 minutes

This can be represented by the equation

[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]

Substitute x = 1.5y into the equation above

[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]

It will take you 10 minutes to wash the car alone

Substitute y = 10 into x = 1.5y

x  =  1.5(10)

x  =  15 minutes

It will take your friend 15 minutes to wash the car alone

Learn more here: https://brainly.com/question/25547756

the answer is 524.47500

can u sub 2 my channel its Raging Sushi and can u like the only video there is

Answer:

I think its one mean, if it's not I'm very sorry

In order to corroborate his assertion that the average body temperature is lower than 98.6 degrees Fahrenheit, the croaker created a test statistic.

A test statistic is a figure attained from a statistical analysis. It explains how far your observed data is from the null thesis, which states that there's no correlation between the variables or distinction between the sample groups.

Test statistics are statistics that are produced from samples to determine whether or not to accept the null thesis.

A sample is data that represents a portion of the population. In other words, it's a gauged - down interpretation of a larger group.

The croaker conducted a thesis test in order to corroborate the information that has been handed in the question. And he calculated the test statistic, or arbitrary data from the sample taken from the population data, for the thesis test.

Learn more about test statistic here:

brainly.com/question/16695849

#SPJ6

Answer:

Sample Space {HH, HT, TH, TT}

Event that the second toss is heads {HH, TH}

To calculate the relative vector of B we have to:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

The coordenates of:

[tex]p(t)= 12t^3-8t^2-12t+7[/tex], with respect to B satisfy:

[tex]C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3[/tex]

Equating coefficients of like powers of t produces the system of equation:

[tex]\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.[/tex]

After solving this system, we have to:

[tex]C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}[/tex]

And the result is:

[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]

Learn more: brainly.com/question/16850761

Answer:

4 1/90

Step-by-step explanation:

I did It so yeah thats it

a) x=24b+8v

4 * 24 = 96

120 - 96 = 24

24 / 8 = 3

b) 3

6 * 8 = 48

120 - 48 = 72

72 / 24 = 3

c) 3

120 / 8 = 15

d) 15

120 / 24 = 5

e) 5

Answer:D

Step-by-step explanation:

====================================================

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

Answer:

88

Step-by-step explanation:

9 × 8 + [tex]2^{4}[/tex]

=> PEMDAS

so first exponent 2^{4} = 16

next multiplication

9*8 = 72

=> 72 + 16

=> 88

Answer:

Below.

Step-by-step explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8  = 18^(8-8) = 18^0 = 1.

Answer:

slope =4

Step-by-step explanation:

from, y=mx + c

where m is slope

Answer:

the slope formula is y=mx+b where b is the y intercept and m is the slope we rewrite the equation by subtracting 4x from either side and then dividing both sides by 6 so we have y=-0.6x+2 so m the slope is -0.6

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

Answer:

7/6 or A

Step-by-step explanation:

2/3(9-6)-5/6= 7/6

Answer:

0

Step-by-step explanation:

-23+23= 0

0 + 23 = 23

To meet the character limit.

Answer:

0

Step-by-step explanation:

first, you need to calculate the entire distance:

23 + 23 = 46

Now divide it by half:

46 / 2 = 23

And now substract & add this

-23 + 23 = 0

23 - 23 = 0

what is the answer is 34 lekende eza

Answer:

Yes

Step-by-step explanation:

This is a function because  every value in set A has only 1 value in set B.

What are the options

Answer:

Step-by-step explanation:

Perimeter=2(length+widht)

Given values:

length=30 m

width=18 m

Substitute values in formula:

Perimeter=2(20+18) m

Perimeter=2(38) m

Perimeter= 76 m