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
PSYCHO15rus [73]
3 years ago
5

Prove that if b is a square matrix then b+b^t is symmetric

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
A matrix \mathbf X is symmetric if \mathbf X=\mathbf X^\top. We have

(\mathbf B+\mathbf B^\top)^\top=\mathbf B^\top+(\mathbf B^\top)^\top=\mathbf B^\top+\mathbf B=\mathbf B+\mathbf B^\top

and so \mathbf B+\mathbf B^\top is indeed symmetric.
You might be interested in
How do you prove theorems behind two parallel lines cut by a transversal?
LenaWriter [7]
The way to do it can be explained like this:
Say AB and CD are the two parallel lines cut by a transversal at E and F respectively.
 Then the pairs of alternate interior angles are:
Angle(AEF) and Angle(DFE)
Angle(CFE) and Angle(BEF)
Now lets prove if this is true:
<span>Angle(CFE) +Angle(DFE) = 180
(linear pair)
Also
Angle(CFE) +Angle(AEF) = 180
(Corresponding angles)
</span><span>Equate the above results:
Angle(CFE) +Angle(DFE) = Angle(CFE) +Angle(AEF)
</span><span>Angle(DFE) = Angle(AEF)
</span>Happens the same with
<span>Angle(CFE) = Angle(BEF)
</span>Hope this is very useful for you

5 0
3 years ago
Find the linear inequality &amp; show it on a number line:<br> 5(x-3) &lt; 20
IRINA_888 [86]

Answer:

Step-by-step explanation:

5(x-3)<20

5x-15<20

5x<35

x<7

6 0
2 years ago
Suppose you invest 1600 at annual interest rate of 7.9% compounded cont how much will u have after 10yrs
frez [133]

Answer:

B. $3525.43

Step-by-step explanation:  

We will use continuously compound interest formula to solve our problem.

A=P*e^{rT}      

A= Amount after T years.

P= Principal amount.

r= Interest rate (in decimal form).

e= The mathematical constant e.

T= Time in years.

First of all we will convert our interest rate in decimal form.

7.9\text{ Percent}=\frac{7.9}{100}=0.079

Now let us substitute our given values in above formula.

A=1600*e^{0.079*10}

A=1600*e^{0.79}

A=1600*2.2033964262559365

A=3525.4342820094984\approx 3525.43

Therefore, we will get an amount of $3525.43 after 10 years and option B is the correct choice.

8 0
3 years ago
Sean determines that the triangle shown in the diagram has angle measures of 40°, 40°, and 100°. Is Sean correct?
kotykmax [81]
The bottom left angle is 180 -80=(100)

So the remaining 2 angles are equal 80
As all angles in a triangle are equal to 180

X+5 + x - 5 =80
Simplify
2x=80
X=40

Soo one of the angles are 40-5 which is (35)
And the other is 40+5 which is (45)
So sean is not correct
~sorry sean teehee
6 0
3 years ago
Read 2 more answers
Help me find the volume please!
posledela
Cheating in 2019 the wave
7 0
3 years ago
Other questions:
  • What is the solution set
    6·1 answer
  • (THE QUESTION IS AT THE PHOTO)
    12·2 answers
  • PLEASE HELP WILL GIVE 50!!! POINTSSSS!!!!
    5·1 answer
  • Round the answer to the nearest cent.<br><br> 5% tax on $20 is $
    7·1 answer
  • The length of a tiger is 45in the head is 10in. What equation can find the length of the rest of the body?
    8·1 answer
  • In rhombus ABCD, AB = 13 and AC = 25. Find the area of the rhombus to the nearest tenth.
    8·1 answer
  • (5k-3) (9+k) What is the value of K ?
    13·2 answers
  • Is it possible to construct a triangle with side lengths of 35,120, and 125 units?
    14·1 answer
  • !!! WILL GIVE BRAINLIEST !! AND 15 POINTS PLS ANSWER !!!
    10·2 answers
  • Solve for y and x<br> 2+3x-1=4y <br> And <br> 2x-3=y
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!