answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erik
3 months ago
12

Given matrix A below, and that A = B, find the value of the elements in B. A = 9 −2 3 2 17 0 3 22 8 b11 = b12 = b13 = b21 = b22

= b23 = b31 = b32 = b33 =
Mathematics
2 answers:
Inessa [12.5K]3 months ago
5 0

Response:

b11 =  

9

b12 =  

-2

b13 =  

3

b21 =  

2

b22 =  

17

b23 =  

0

b31 =  

3

b32 =  

22

b33 =  

8

Svet_ta [12.7K]3 months ago
3 0

Answer:

b_{11}=9,b_{12}=-2,b_{13}=3,b_{21}=2,b_{22}=17,b_{23}=0,b_{31}=3,b_{32}=22,b_{33}=8

Step-by-step explanation:

Review the provided matrix

A=\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right]

Let matrix B be defined as

B=\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\\b_{31}&b_{32}&b_{33}\end{array}\right]

It is stated that

A=B

\left[\begin{array}{ccc}9&-2&3\\2&17&0\\3&22&8\end{array}\right]=\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}\\b_{21}&b_{22}&b_{23}\\b_{31}&b_{32}&b_{33}\end{array}\right]

By comparing the corresponding elements from both matrices, we derive

b_{11}=9,b_{12}=-2,b_{13}=3

b_{21}=2,b_{22}=17,b_{23}=0

b_{31}=3,b_{32}=22,b_{33}=8

Consequently, the needed values are b_{11}=9,b_{12}=-2,b_{13}=3,b_{21}=2,b_{22}=17,b_{23}=0,b_{31}=3,b_{32}=22,b_{33}=8.

You might be interested in
0.002 is 1/100 of what decimal?
Zina [12379]
The appropriate conversion should be 0.2. If that's incorrect, please let me know.
6 0
3 months ago
Read 2 more answers
Match each pair of points to the equation of the line that is parallel to the line passing through the points.
Svet_ta [12734]

It's known that

When two lines are parallel, their slopes are identical.

The slope between any two points can be calculated using the following formula:


m=\frac{y2-y1}{x2-x1}


We will calculate the slope for each case to find the solution to the problem.

Case A) Point B(5,2)\ C(7,-5)

Determine the slope of BC

Insert the values into the formula:

m=\frac{-5-2}{7-5}


m=\frac{-7}{2}


m=-3.5


Thus,

The equation y=-3.5x-15 is parallel to the line that goes through the points B(5,2)\ C(7,-5)

Therefore,

the result for Part A) is

B(5,2)\ C(7,-5) ------> y=-3.5x-15

Case B) Point D(11,6)\ E(5,9)

Calculate the slope of DE

Plug the values into the formula:

m=\frac{9-6}{5-11}


m=\frac{3}{-6}


m=-0.5


Thus,

The equation y=-0.5x-3 is parallel to the line that goes through the points D(11,6)\ E(5,9)

Therefore,

the result for Part B) is

D(11,6)\ E(5,9) ------> y=-0.5x-3

Case C) Point F(-7,12)\ G(3,-8)

Determine the slope of FG

Insert the values into the formula:

m=\frac{-8-12}{3+7}

m=\frac{-20}{10}


m=-2


Thus,

Any linear equation with slope m=-2 will be parallel to the line through the points F(-7,12)\ G(3,-8)

Case D) Point H(4,4)\ I(8,9)

Calculate the slope of HI

Substitute the values in the formula:

m=\frac{9-4}{8-4}


m=\frac{5}{4}


m=1.25


Thus,

The equation y=1.25x+4 is parallel to the line through the points H(4,4)\ I(8,9)

Therefore,

the result for Part D) is

H(4,4)\ I(8,9) ------> y=1.25x+4

Case E) Point J(7,2)\ K(-9,8)

Determine the slope of JK

Insert the values into the formula:

m=\frac{8-2}{-9-7}


m=\frac{6}{-16}


m=-0.375


Thus,

Any linear equation characterized by slope m=-0.375 will be parallel to the line that runs through the points J(7,2)\ K(-9,8)

Case F) Point L(5,-7)\ M(4,-12)

Find the slope of LM

Substitute the values in the formula:

m=\frac{-12+7}{4-5}


m=\frac{-5}{-1}


m=5


Thus,

The equation y=5x+19 is parallel to the line connecting the points L(5,-7)\ M(4,-12)

Therefore,

the result for Part F) is

L(5,-7)\ M(4,-12) ------> y=5x+19




8 0
3 months ago
Read 2 more answers
Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of
Svet_ta [12734]

Given the three integers are a,b,c, we arrive at

\dfrac1a+\dfrac1b+\dfrac1c=1

We can merge the fractions on the left side:

\dfrac{bc}{abc}+\dfrac{ac}{abc}+\dfrac{ab}{abc}=\dfrac{bc+ac+ab}{abc}=1

\implies abc=bc+ac+ab

4 0
2 months ago
Read 2 more answers
There is a mound of g pounds of gravel in a quarry. Throughout the day, 400 pounds of gravel are added to the mound. Two orders
PIT_PIT [12445]

Question is Incomplete; Complete question is given below;

A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.

Answer:

The equation that best represents the situation is g+400-1800=1300.

Step-by-step explanation:

Given:

Initial gravel amount = 'g'.

Currently Given:

Throughout the day, 400 pounds of gravel is added to the pile.

Thus we can conclude;

Gravel amount after addition = g+400

Also given:

Two orders of 900 pounds are sold and the gravel is taken from the pile.

Hence, two orders of 900 pounds = 2\times 900 = 1800 \ pounds

This leads us to state;

Gravel amount post-removal = g+400-1800

Now Given:

Remaining gravel at the end of day = 1300 pounds.

Therefore, we derive that;

g+400-1800=1300

Consequently, the equation that best describes the scenario is g+400-1800=1300.

3 0
2 months ago
Other questions:
  • During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
    11·1 answer
  • The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current
    14·2 answers
  • Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
    9·2 answers
  • A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estim
    13·1 answer
  • Mandy is making stationery sets from 16 sheets of paper and 12 envelopes. If she wants all the sets to be identical without any
    12·1 answer
  • What did the abacus say when asked if he could help out at the school carnival worksheet answer
    5·1 answer
  • Select all of the following points that lie on the graph of f(x) = 7 - 3x.
    11·1 answer
  • What is the reciprocal of 5 5/11
    12·2 answers
  • The area of the triangle shown is 40.0 cm2.
    6·1 answer
  • PLZ HELP ME ASAP The box plot shows the typing speed (in words per minute without errors) of the contestants in a typing contest
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!