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Paha777 [63]
2 years ago
7

Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3

EndMatrix right bracketA=
−2 4
1 3
​, and Upper B equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 1 2nd Row 1st Column 3 2nd Column 7 EndMatrix right bracketB=

−2 1
3 7
.a. Find

ABAB​,

if possible. b. Find

BABA​,

if possible.

c. Are the answers in parts a and b the ​same?

d. In​ general, for matrices A and B such that AB and BA both​ exist, does AB always equal​ BA?

a. Find

ABAB​,

if possible.
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
7 0

Answer:

not

Step-by-step explanation:

\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] *\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]=

First is A and Second is B

Let's find A*B

\left[\begin{array}{ccc}-2(-2)+4*3&-2*1+4*7\\1(-2)+3*3&1*1+3*7\end{array}\right] =\left[\begin{array}{ccc}16&26\\7&22\end{array}\right]

b)

\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]  \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] =

Now let's find B*A

\left[\begin{array}{ccc}-2(-2)+1*1&-2*4+1*3\\3(-2)+7*1&3*4+7*3\end{array}\right] =\left[\begin{array}{ccc}5&-5\\1&23\end{array}\right]

c) They are not

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A. 0<br><br><br> B. 1<br><br><br> C. 2<br><br><br> D. 3
zloy xaker [14]
-19 to -15 would be a positive 4 difference

19 to 15 = 4 this would be a -4 difference

3 to 7 is a positive 4 difference

-3 to 7 is a difference of 10

so there is 1 with a -4 difference
 answer is B.


6 0
2 years ago
Answer this world problem for me
inn [45]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

In order to find the answer, we need to do as follows:

Average no. of people per km^2 = total no. of people ÷ total no. of people

Average no. of people per km^2 = 1, 080, 264, 388 ÷ 2, 973, 190

Average no. of people per km^2 = 363.335134317

Now we need to round the answer to the nearest whole number. In this case, we will be rounding down as displayed below:

Average no. of people per km^2 = 363 people

ANSWER:

Therefore, the answer is:

There are an average of 363 people per km^2 of land in India.

Please mark as brainliest if you found this helpful! :)
Thank you <3
7 0
3 years ago
Simplify the following using PEMDAS:<br> 20 / (7-2)*3
Schach [20]

Answer:

if the * is equal to multiply, the answer is 12

Step-by-step explanation:

6 0
3 years ago
Y =<br> 3x-6<br> x<br> у<br> 3<br> -8<br> | | ان اذا<br> -1
xenn [34]

Answer:

I don't know....... sorry.............

4 0
3 years ago
A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D (x) = 943 - 17 x​, where q is the q
Alex73 [517]

Answer:

See expla below

Step-by-step explanation:

Given the demand function:

q = D (x) = 943 - 17 x

a) Find the elasticity:

Find the derivative of the demand function.

D'(x)= -17

Thus, elasticity expression is:

\frac{x D'(x)}{D'(x)}

= \frac{x (-17)}{943 - 17x}

= \frac{17x}{943 - 17x}

Elasticity expression = E(x) = \frac{17x}{943 - 17x}

b) At what price is the elasticity of demand equal to 1?

This means E(x) = 1

Substitute 1 for E(x) in the elasticity equation:

E(x) = \frac{17x}{943 - 17x}

1 = \frac{17x}{943 - 17x}

Cross multiply:

943 - 17x = 17x

Collect like terms

17x + 17x = 943

34x = 943

x = \frac{943}{34}

x = 27.74

Elasticity at the price of demand = 1 is 27.74

c) At what prices is the elasticity of demand elastic?

This means E(x) > 1

Therefore,

\frac{17x}{943 - 17x} > 1

\frac{17x}{943 - 17x} > 1

Cross multiply:

17x > 943 - 17x

Collect like terms

17x + 17x > 943

34x > 943

x > \frac{943}{34}

x > 27.74

The elasticity of demand is elastic at x > 27.74

d) At what prices is the elasticity of demand inelastic?

This means E(x) < 1

Therefore,

\frac{17x}{943 - 17x} < 1

\frac{17x}{943 - 17x} < 1

Cross multiply:

17x < 943 - 17x

Collect like terms

17x + 17x < 943

34x < 943

x < \frac{943}{34}

x < 27.74

The elasticity of demand is inelastic at x < 27.74

e) At what price is the revenue a maximum:

Total  revenue will be:

R(x) = x D(x)

= x (943 - 17x)

= 943x - 17x²

R(x) = 934 - 17x(price that maximizes total revenue)

Take R(x) = 0

Thus,

0 = 943 - 17x

17x = 943x

x = \frac{943}{17}

x = 27.74

Total revenue is maximun at x= 27.74 per cookie

f) At x = 21 per cookie, find the price:

Thus,

R (21) = (943 * 21) - (17 * 21²)

= 19803 - 7497

= 12306

At x = 27.74, find the price:

R(27.74) = (943 * 27.74) - (17 - 27.74²)

= 26158.82 - 13081.63

= 13077.19

We can see the new price of cookie causes the total revenue to decrease.

Therefore, with a small increase in price the total revenue will decrease.

5 0
3 years ago
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