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]
3 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]3 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
The points plotted below are on the graph of a polynomial. Some of the roots to this polynomial are integers. Which of the follo
Vikki [24]
The only root is -2.  The roots are where the function goes through the x-axis.  This polynomial goes through in lots of places, but the only answer that matches is -2
8 0
3 years ago
What two numbers add up to 6.5 and multiply to .64
melomori [17]
You multiply by 10 or more
5 0
3 years ago
Find the volume of the cone​
irina1246 [14]

Answer:

The volume of the cone is 12936 cubic mm.

Step-by-step explanation:

Given

Circumference of base = 132 mm

Height of the cone = 28 mm

Solution

Formula  of circumference = 2\pi r = 132 mm

\therefore\ r= \frac{132}{2 \pi } = 21 mm

Now volume of cone = \frac{1}{3} \times\pi \times r^{2} \times h

on substituting the value of r and h  we get ;

\frac{1}{3}\times\frac{22}{7} \times21\times21\times28= 12936\ mm

thus volume of cone is 12936  cubic mm.

4 0
3 years ago
The intersection of a plane and a line segment can be a point true or false
77julia77 [94]

Answer:

true

Step-by-step explanation:

add

4 0
2 years ago
How do i plot this??
Softa [21]

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

5 0
3 years ago
Other questions:
  • Mr. and Mrs. Carlo want to buy a new car, but they do not have enough money in their bank account to pay the entire cost after t
    15·1 answer
  • A geometric sequence is defined recursively by an=12a(n-1). The first term of the sequence is 0.001. Which of the following is t
    15·1 answer
  • What is 5.8 times 10^6 seconds in minutes
    7·2 answers
  • Write the equation. kate has a seashell. Collection. She has 35shells in all. This is five times morethan her brother. How many
    10·1 answer
  • Look at the triangle: A right angle triangle is shown with hypotenuse equal to 17 centimeters. An acute angle of the triangle is
    15·2 answers
  • (9x + 5 ) - (6x +-8)​
    8·1 answer
  • Which of the following formulas would find the lateral area of a right cylinder
    7·1 answer
  • What is 998 divided by 9?
    7·2 answers
  • the total cost of 4 pens at rs 20 each,5 pencils at Rs 5 each and 2 boxes at rs 60 each.make equation and solve (INTEGERS) plsss
    8·1 answer
  • 00:00
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!