1answer.
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
d1i1m1o1n [39]
3 years ago
5

Given: A, B, and C What is the value of X in the matrix equation AX + B = C?

Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

You might be interested in
Suppose you buy a new car whose advertised mileage is 23 miles per gallon​ (mpg). After driving your car for several​ months, yo
Sedbober [7]

Answer:

B.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
please show on graph (with x and y coordinates) state where the function x^4-36x^2 is non-negative, increasing, concave up​
babunello [35]

Answer:

y'' =12x^2 -72=0

And solving we got:

x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}

We can find the sings of the second derivate on the following intervals:

(-\infty Concave up

x=-\sqrt{6}, y =-180 inflection point

(-\sqrt{6} Concave down

x=\sqrt{6}, y=-180 inflection point

(\sqrt{6} Concave up

Step-by-step explanation:

For this case we have the following function:

y= x^4 -36x^2

We can find the first derivate and we got:

y' = 4x^3 -72x

In order to find the concavity we can find the second derivate and we got:

y'' = 12x^2 -72

We can set up this derivate equal to 0 and we got:

y'' =12x^2 -72=0

And solving we got:

x=\pm \sqrt{\frac{72}{12}} =\pm \sqrt{6}

We can find the sings of the second derivate on the following intervals:

(-\infty Concave up

x=-\sqrt{6}, y =-180 inflection point

(-\sqrt{6} Concave down

x=\sqrt{6}, y=-180 inflection point

(\sqrt{6} Concave up

8 0
2 years ago
Im confused on #6...help anyone?
nikdorinn [45]

Answer:

Step-by-step explanation:

Using elimination means you either add the two equations together or subtract them. You can first multiply the second equation by 2, so you get 4x - 6y = 24. Then you add the two equations together to get 9x = 42. Then you solve for x and then you can solve for y.

6 0
3 years ago
Mary brings 350 erasers to school. After she gives each of her 25 classmates and herself an equal number of erasers, she will gi
Misha Larkins [42]

Answer:

snsjkfnjkfnkjsefjksenfkjsenfsj

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Hi I need some help answering this question
Maslowich

Answer:

What's the question?

8 0
2 years ago
Read 2 more answers
Other questions:
  • Anna said that the product of 78⋅112=7278·112=72.
    12·2 answers
  • Fifty percent of the gases making up the atmosphere are found below ________. 10 miles (16.2 km) 6 â½ miles (10.4 km) 3 â½ miles
    15·2 answers
  • I'LL FRIEND IF YOU ANSWER THIS what is 32(14+17x)/4-12 simplified
    7·2 answers
  • The following data represent the discrete probability distribution for the number of stars that reviewers have a first edition s
    14·1 answer
  • Please answer this correctly
    7·1 answer
  • In which number is the value represented by the digit 9 equal to 110
    15·1 answer
  • Can you assist? I really need this one​
    14·1 answer
  • The prime numbers which come between <br> 5 and 15.
    7·2 answers
  • A bakery can make 63 cookies in 9 minutes. At this rate, how many cookies can the bakery make in 20 minutes?
    6·2 answers
  • a store had 2 blue chairs for $22.78 or 6 red chairs $67.80 which color chair has a lower unit price?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!