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
melomori [17]
3 years ago
11

Here is 3 & 4 I NEED DONE ASAP!

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Given matrices are from here

brainly.com/question/18267865

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

Problem 3

a)

B - C = DNE

We cannot subtract matrices of different sizes. Matrix B is 2x2 while C is 3x2. Both matrices must have the same number of rows, and they must also have the same number of columns. The matrices don't have to be square.

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

b)

A+B = \begin{bmatrix}-5 & 6\\7 & 4\end{bmatrix}

You add the corresponding elements. For instance, in the top left corner we have -1+(-4) = -5. The other entries are treated in a similar manner.

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

c)

-2E = \begin{bmatrix}6 & -4 & 8\\-12 & 14 & -16\\-10 & -18 & 20\end{bmatrix}

You get this from multiplying each entry in matrix E by -2. Eg: top left corner has -2*(-3) = 6

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

d)

CD = \begin{bmatrix}4 & 7 & 8\\ 1 & 3 & 4\\14 & 17 & 16\end{bmatrix}

Matrix C has 3 rows and D has 3 columns. The final answer will be size 3x3

To generate each value in the answer matrix, you'll highlight rows of C to pair with columns of D. Then you'll multiply out the corresponding values, after which you add those products. This is done for every entry in the answer shown above.

For example, the first row of C is highlighted and the second column of D is highlighted. Those values pair up and multiply getting -1*(-1) + 2*3 = 1+6 = 7, which goes in the first row and second column of the answer matrix. The other entries are handled in a similar fashion.

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

e)

\det(B) = -46

The 2x2 matrix determinant formula is \begin{vmatrix}a & b\\c & d\end{vmatrix} = a*d - b*c

In this case, a = -4, b = 6, c = 5, d = 4.

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

f)

B^{-1} = \begin{bmatrix}-2/23 & 3/23\\ 5/46 & 2/23\end{bmatrix}

Swap the top left and bottom right corners of matrix B. Change the sign of the other two corner values. Then multiply each entry by 1/d where d is the determinant found back in part (e) above. Be sure to reduce any fraction as much as possible.

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

Problem 4

Answers: x = 2  and y = -10

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

Work Shown:

\begin{bmatrix}2x & 4\\-5 & -2\end{bmatrix}+\begin{bmatrix}3 & -7\\11 & y-1\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & 4+(-7)\\-5+11 & -2+(y-1)\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\\begin{bmatrix}2x+3 & -3\\6 & y-3\end{bmatrix} = \begin{bmatrix}7 & -3\\6 & -13\end{bmatrix}\\\\\\

In the top left corners of each matrix, in line 3, we have 2x+3 = 7 which solves to...

2x+3 = 7

2x = 7-3

2x = 4

x = 4/2

x = 2

In the bottom right corners, we have y-3 = -13 which solves to....

y-3 = -13

y = -13+3

y = -10

You might be interested in
Plzzzz help!! If you can thank you so much!
yawa3891 [41]

Answer:

233.5

Step-by-step explanation

5 0
3 years ago
Use the slope formula to determine the equation of the line (2,.75) and (4,.25)
guajiro [1.7K]

Answer:

y=-0.25x+1.25

Step-by-step explanation:

hope this helps u

6 0
3 years ago
Is the square root of 13 a rational number or an irrational number?
abruzzese [7]
13 is not a perfect square so it is (irrational)
8 0
3 years ago
Read 2 more answers
The segment shown below could form a triangle.
valentina_108 [34]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Look at the middle 9 of .999. What is the value of the 9 to it's right?
Zepler [3.9K]

Answer:

The value would be thousandths.

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Jackie made 12 quarts of lemonade. Jackie says she made 6 pints of lemonade. Complete the explanation of Jackie's error. Then fi
    7·1 answer
  • Use 3.14 for pi to estimate the area of a circle the diamater is given round your answer to the nearest hundredth if nessesary (
    14·1 answer
  • A wildfire is spreading at an alarming rate. The wildfire begins at a size of 8 square feet. It then doubles its width every x h
    9·1 answer
  • Here’s a clearer picture
    15·1 answer
  • Solve by factorising the equation 8x^2-30x-27=0
    15·1 answer
  • Which graph represents a proportional relationship?
    12·1 answer
  • What is the quotient when (-12x^9 + 3x^7 + 24x^6) is divided by 6x?
    6·1 answer
  • Some one please help me on this I am very much dum
    13·1 answer
  • Plz help I will give brainliest
    14·2 answers
  • The graph shows the type and number of coins that three students plan to donate during a coin drivefundraiser.Coin Drive Donatio
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!