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
amid [387]
3 years ago
12

If the null space of A4×5 is exactly a two-dimensional plane, answer the following:

Mathematics
1 answer:
Hatshy [7]3 years ago
8 0

Answer:

I.

A is a 4 x 5 matrix => A: U -> V, dim U = 5, dim V = 4

Null space is exactly two dimensional plane

dim null (A) = 2

II.

Rank A = dim U - dim Null A = 5 - 2 = 3

III.

Number of linearly Independent columns of A is the rank of A = 3

IV.

Yes, The system Ax = b has no solution sometimes as range of A \neq V

V.

Yes,Sometimes Ax = b has a unique solution

VI.

Yes, sometimes Ax = b has infinitely many solutions

You might be interested in
Suppose the base of the prism was a rectangle of sides I and w. Type a formula for the volume of the prism using i, w and h
tester [92]

Answer: V = l  w  h

Step-by-step explanation:

Hi, to answer this question we have to apply the formula for the volume of a rectangular prism.

Volume of a rectangular prism (V) = Length x Width x Height

Replacing with the values given:

V = l w h

All values are multiplied (didn’t use x as a multiplication symbol to avoid confusion)  

Feel free to ask for more if needed or if you did not understand something.

7 0
4 years ago
HELP!! Select the values for the domain and range of the functions graphed below.
Goryan [66]

Answer:

Graph 1

Domain = -8 =< x =< 10

Range = -9 =< f(x) =< 9

Graph 2

Domain = -1 =< x =< 5

Range = -1 =< f(x) =< 2

Explaination:

Domain means the inputed x values on the x-axis, so to make things simpler and to not write every individual x values. We write it with <, >, and =<. (you can see it as the 'width' of a graph).

Range means the output y values on the y-axis. It's like the 'height' of a graph. And also, to make things simpler and to not write every individual y values. We write it with <, >, and =< with f(x) too because f(x) = y.

3 0
2 years ago
Find the distance between G(-8,6) and H(5, 10). Round to the nearest tenth (one decimal place) if necessary.
Darya [45]

Answer:

1273888364 jsjsjsj difundió doctorado doctor

3 0
3 years ago
The slope point equation of a line passing through the points (-3, -1) and (2, -6) is:
evablogger [386]

Answer:

y = -1x -4

Step-by-step explanation:

The point slope equation is y - y1 = m(x -x1).

You will have to plug in the points (-3, -1) and (2, -6).

y - (-1) = m (x - (-3))

To find "m", find y over x.

m = (y2 - y1) / ( x2 - x1)

m = (-6 + 1)/(2 + 3)

m = -5/5

m = -1

Then plug in "m"

y + 1 = -1(x + 3)

then distribute the "m" into the parenthesis and isolate y or subtract 1 from both sides.

y + 1 = -1x - 3

y = -1x -4

4 0
3 years ago
Can someone please help me with this question, I'm stuck !
kow [346]
I think B. Don't question me about it tho.
3 0
3 years ago
Other questions:
  • The figure below shows a rectangular parking lot.<br> 67 yd<br> 86 yd<br> What’s the perimeter
    13·1 answer
  • Please answer asap! (im timed)​
    7·1 answer
  • Help ASAP (RIGHT ANSWER GETS BRAINLIEST)
    7·2 answers
  • 7:( 4 11 m)=56:3.2
    6·1 answer
  • Jim wants to go to the fair this summer. if it cost a one time fee $5 for admission plus $2.50 per ride. write an equation that
    5·2 answers
  • A donkey eats 3/9 of a hay bale a week. How many hay bales does he eat in 21 days?
    9·2 answers
  • The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____)
    14·1 answer
  • A university lecture hall has 100 seats. During class, 30% of the seats are empty. How many students are attending class?
    6·2 answers
  • If
    8·1 answer
  • The graph of a function fis shown below.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!