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
svet-max [94.6K]
2 years ago
13

Find a basis for the orthogonal complement of the subspace of R4 spanned by the vectors. v1 = (1, 4, -5, 3), v2 = (4, 15, 0, 5),

v3 = (1, 3, 15, -4)
The basis for the row space is

W1 = ( ... , ... , 1, 0)
W2= (..., ..., 0, 1)
Mathematics
1 answer:
Arlecino [84]2 years ago
7 0

Answer:

W1 =  ( -75, 20, 1 , 0 )

W2 = ( 25, -7 , 0, 1 )

Step-by-step explanation:

attached  below is the remaining part of the solution

for a homogenous system of equation ; Ax = 0

x1 + 4x2 -5x3 + 3x4 = 0

-x2 + 20x3 -7x4 = 0         note: x3 and x4 are free variables

we can take x3 = 0 and x4 = 1 , hence ; x2 = -7

∴ x1 - 28 + 3 = 0 = x1 = 25

W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )

now lets take x3 = 1  and x4 = 0   hence x2 = 20 , x1 = -75

∴ W1 =  ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )

You might be interested in
What is 3 divided by 2/3? Please explain, thanks!
Ulleksa [173]
3\div \dfrac{2}{3}=\\
3\cdot\dfrac{3}{2}=\\
\dfrac{9}{2}

6 0
3 years ago
Https://forms.gle/NYohXkMYJGTVQDkf6
weeeeeb [17]

Answer:

???

Step-by-step explanation:

never click links unless you know EXACTLY whats on the other side folks

stay safe in the cyber-verse :D

3 0
2 years ago
Read 2 more answers
Complete he statement below. Then use a number line to find the sum 5 + ( -4 )
skad [1K]

Answer:

The statement is 6 in the negative direction

5 + (-4) = 1

Step-by-step explanation:

7 0
3 years ago
Pro
Firdavs [7]

Answer:

C. Both (1, 11) and (-1, -5)

Step-by-step explanation:

The missing options are:

<em> A. Only (1, 11) </em>

<em>B. Only (-1, -5)  </em>

<em>C. Both (1, 11) and (-1, -5) </em>

<em>D. Neither </em>

To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.

Replacing x = 1, we get:

y = 8(1) + 3

y = 11

then (1, 11) is a solution

Replacing x = -1, we get:

y = 8(-1) + 3

y = -5

then (-1, -5) is a solution

8 0
3 years ago
A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time
FinnZ [79.3K]

If the ball was thrown straight up at 24 ft/sec when it was 5 ft above the ground, the ball reached a maximum height of 7.25 m

\texttt{ }

<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

\texttt{ }

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = \frac{-b}{2a} } }

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

p(t) = 3gt^2 + v_ot + p_o

p(t) = 3(-32)t^2 + 24t + 5

p(t) = -64t^2 + 24t + 5

<u>Asked:</u>

p_{max} = ?

<u>Solution:</u>

<em>At the maximum height , velocity is 0 m/s:</em>

v = \frac{dp(t)}{dt}

v = \frac{d}{dt} ( -64t^2 + 24t + 5 )

v = (-64)(2)t^{2-1} + 24

v = -128t + 24

0 = -128t + 24

128t = 24

t = 24 \div 128

t = 3 \div 16

t = 0.1875 \texttt{ s}

\texttt{ }

p(t) = -64t^2 + 24t + 5

p(0.1875) = -64(0.1875)^2 + 24(0.1875) + 5

p(0.1875) = 7.25 \texttt{ m}

\texttt{ }

<h3>Learn more</h3>
  • Solving Quadratic Equations by Factoring : brainly.com/question/12182022
  • Determine the Discriminant : brainly.com/question/4600943
  • Formula of Quadratic Equations : brainly.com/question/3776858

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

\texttt{ }

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please help me , I really need it
    15·1 answer
  • a baker made 7 batches of muffins there wad a total of 252 muffins if there was the same number of muffins in each batch how man
    15·1 answer
  • On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters.
    13·1 answer
  • Solve the following equation for p . <br><br> s=18p<br><br> p=?<br><br> helppp
    8·2 answers
  • How much interest does a $10,000 investment earn at 5.6% over 18 years? ​
    11·1 answer
  • GIVING BRAINIEST EXPLAIN ANSWER
    14·2 answers
  • Can you help A B C Or D image is here
    13·1 answer
  • What is the solution 4x-10=x+3x-2x​
    9·1 answer
  • Sitting on a park bench, you see a swing that is 100 feet away and a slide that
    15·2 answers
  • Which ratio can be represented by pi?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!