Determine the dimensions of Nul A and Col A for the matrix shown below. A = [1 0 0 0 4 0 0 0 -5 1 0 0 2 -4 1 0 -4 -3 -3 0 6 -1 -4 0 -1 -6 6 0] The dimension of Nul A is and the dimension of col A is

Answers

Answer 1

The dimension of Nul A = 0 and the dimension of Col A = 4. means that the matrix A has no solutions for the homogeneous equation A × x = 0, which means that its null space is trivial, and it has 4 linearly independent columns, which means that its column space is 4-dimensional.

In other words, it is the number of linearly independent vectors x that satisfy the equation Ax = 0.

The dimension of Col A, also known as the column space of the matrix A, is the dimension of the subspace spanned by the columns of the matrix A. In other words, it is the number of linearly independent columns of matrix A.

In general, it is not possible to determine the dimensions of Nul A and Col A of a matrix just by looking at its elements. In order to find the dimensions, we need to perform the row echelon form or reduced row echelon form of the matrix to find the rank and the nullity which is the difference in the number of columns and rank.

For the specific matrix A provided, the rank of the matrix is not provided, thus we can not determine the dimension of the Nul A and Col A.

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Related Questions

What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2

. Resolver la siguiente inecuación, utilizar la notación de intervalos y representar el conjunto
solución en la recta real:

3x-1 + x+7 < 2x+5 + 7
5 2 3 ​

Answers

Answer:

bat di mo masagotan bobo kaba ikaw somagot nyan kasi dapat nagaaral kanangmabuti hayop ka wag kang mag patolong

4. The speed limit is 45 miles per hour. Choose the metric speed limit that is higher than 45 miles per hour. 0 91 km per hour 64.1 km per hour O 64.1 per hour


PLSS I NEED IT NOW​

Answers

Answer:

91 km per hour

Step-by-step explanation:

45 miles per hour is the same as 72 kilometers per hour (metric), so pick any value greater than 72 km per hour.

help please!!! thanks

Answers

Answer:

27

Step-by-step explanation:

first we can simplify by dividing by r

[tex] \frac{9 {r}^{2} }{r} = \frac{9 \times r \times r}{r} = 9 \times r \times 1 = 9r[/tex]

the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1

finally we can evaluate when r =3,

9r = 9(3) = 27

Please please help me in the question someone

Answers

Answer:

perimeter is  34 cm

Step-by-step explanation:

Notice you need to find the value of two sides whose measure is not given. The first one is horizontal and 10 cm - 4 cm = 6 cm in length

The second one is vertical with a measure of 7 cm - 4 cm = 3 cm

Then, the addition of all sides going clockwise becomes:

7 + 10 + 4 + 6 + 3 + 4 = 34 cm

GEOMETRY HELP ME

Find the measures of all the angles listed and if the lines are parallel explain why?

Answers

Answer:

x= 110°

Step-by-step explanation:

if you continue drawing the top purple line you will have a triangle with three angles

70° ; is given

180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)

180-70-40 = 70°; because sum of angles in a triangle is 180°

So angle x= 180 -70 = 110 because are a linear pair

Answer:

110 deg

Step-by-step explanation:

The supplement of the 140 deg angle measures 40 deg.

Draw a line through the vertex where angle x is that is parallel to the other two lines. That line splits angle x into two angles, an upper angle and a lower angle.

By alternate interior angles, the lower angle that is part of angle x measures 70 deg. Also by alternate interior angles, the upper angle that is part of angle x  measures 40 deg.

x = 70 + 40 = 110

Answer: 110 deg

Without making any calculations, which data set has the smallest standard deviation?
O 1, 1, 2, 2, 3,3
O 1, 3,5
O 0, 1, 5, 6, 9, 10
O 1, 1, 1, 1, 2, 2, 2, 2

Answers

Answer:

the last set: {1, 1, 1, 1, 2, 2, 2, 2}

Step-by-step explanation:

Notice the smallest standard deviation will come from the addition of the differences between the average value and each individual number in the set.

We notice that there is one set where all values are very close to the average . This is the set:

{1, 1, 1, 1, 2, 2, 2, 2} whose clear average is 1.5 , and therefore the deviations from the mean will produce contributions of 0.5 for each of the elements.

Write the fraction in lowest terms.
14/37

Answers

That’s as low as it goes So that’s ur answer
14/37

3-3(x-2)

simplify the expression

Answers

Answer:

-3-3x

Step-by-step explanation:

3-3(x-2)

3-3x+6

-3-3x

Answer:

-3x+9

Step-by-step explanation:

-3/10 + 5/20
Simplify if needed etc
Brainliest

Answers

the answer is to this question is -1/20

Answer:

-1/20

look at the pic i have sent you, this might help you!

Find an equivalent ratio for the ratio 6 to 7.

42
53
13
14
54
36
49

Answers

Hi there!

Finding the equivalen ratio means to find a equivalent numbers that’s equivalent to 6 and 7 which also means a number that 6 and 7 all goes into...

6,12,18,24,30,36,42

7,14,21,28,35,42

Final Result: 42

On one day, 4 chefs and 5 helpers earned $650.

On another day working the same number of hours
at the same rate of pay, 5 chefs and 6 helpers
earned $800.

How much does a chef earn each
day?

Answers

4c + 5h = 650 and

5c + 6h = 800 where c are chefs, h are helpers

Start by finding an expression for c

4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4

Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50

Take that 50 and substitute it into the expression we have for c to get a number value for c

C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100

Check your first equations, substituting $50 for the helpers and $100 for the chefs.

4 (100) + 5(50) =
400 + 250 = 650

5(100) + 6(50) =
500 + 300 = 800

HELP!!!

Scott and Mark are rock climbing.



Scott is at the top of a 75‑foot cliff, when he throws a 96‑foot rope straight down to Mark, who is on the ground directly below.



If the rope is stretched tightly from Mark’s feet to Scott’s feet, how far over from the base of the cliff s Mark standing?

Answers

Answer: 59.98

Step-by-step explanation: :)

The distance between them is 59.92 ft

What is Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle.

Given that, a scenario that is making an arrangement of a right-angled triangle, we need to find the base, [refer to the figure attached]

So, here we will use the Pythagoras theorem

75²+base² = 96²

base² = 96²-75²

base = √3591

base = 59.92

Hence, the distance between them is 59.92 ft

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Reduce to simplest form
+

Answers

Answer:

?

Step-by-step explanation:

What is the question?

What is the difference between |-3|and -3?

Answers

Answer:

c vbnnbvgh3456789okjhgc

Step-by-step explanation:

Answer:

the difference between |-3| and -3 is -3 because |-3| is actually 3... when a negative number is one these lines | | such as |-3| it becomes positive.

Step-by-step explanation:

so the difference between 3 and -3 is -3

your answer is -3

hope this helps!!!

plzzz help will give brainiest
select the most precise name of quadrilateral MNOP given the coordinates of M N O P




Answers

Parallelogram

draw the coordinates on a graph

Answer:

Rhombus

Step-by-step explanation:

Sketching out the shape shows us that it is neither a square nor rectangle (alternatively, we could tell from the points since if it was a rectangle/square, there would be two sets of x co-ordinate values and y-co-ordinate values only).

Find the length of MN:

MN²=(Yn-Ym)²+(Xn=Xm)²

MN²=(4-1)²+(3-1)²

MN²=3²+2²

MN²=9+4

MN=√13

Find the length of MP:

MP²=(Yp-Ym)²+(Xp-Xm)²

MP²=(3-1)²+(4-1)²

MP²=2²+3²

MP²=4+9

MP=√13

Since the side lengths are equal, the shape must be a rhombus.

Please help for instant brainliest.

Answers

Answer is x + y= 35
x-y= 7

Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025​

Answers

Answer:

A

Step-by-step explanation:0.25 is a quarter so 1/4 is also a quarter so you juts add the subcalculus and you get the sum

WILL MARK BRAINLYIST
put median or altitude for the first part

Answers

1: altitude
2: median
3: for the last selections I can see I would put CJB.

Extremely sorry if this is incorrect.

The ratio of purple squares to green squares on a game board is 3 to 5. How many green squares are there
if there are 21 purple squares?
А:8

B:29

С:35

D:42



Hurry please

Answers

Answer:

C :35

Step-by-step explanation:

3to5 purple to green

times each side by 7 or add the same number repeatedly

What is the y-intercept for y = 4x + 7

Answers

Answer: -7 is the y intercept

Step-by-step explanation:

suppose that the population of deer in a state is 16,000 and is growing 1%each year Predict population after 6 years

Answers

Answer:

16984

Step-by-step explanation:

Given

[tex]a = 16000[/tex] ---- Initial

[tex]r = 1\%[/tex] --- rate

Required

Determine the population after 6 years

To do this, we make use of the following exponential function

[tex]f(x) = a(r+1)^x[/tex]

Substitute values for a and r

[tex]f(x) = 16000(1\%+1)^x[/tex]

Express 1% and decimal

[tex]f(x) = 16000(0.01+1)^x[/tex]

[tex]f(x) = 16000(1.01)^x[/tex]

The population after 6 years is:

Substitute 6 for years

[tex]f(6) = 16000(1.01)^6[/tex]

[tex]f(6) = 16984.3224096[/tex]

[tex]f(6) = 16984[/tex] -- approximated

Please help me it hard

Answers

The mean is the average of all numbers so you add 9+8+12+6+10 and you get 45
Now count how many numbers there are or days which is 5

45 divided by 5 is 9

The answer is 9 pages per day

Hope this helps

Edwin drove at a constant speed and traveled 182.4 miles in 3 hours. What is his rate in miles per hour?

Answers

182.4 miles/ 3 hours=

60.8 miles per hour is your answer.

What is the length of the longest side of a triangle that what is the length of the longest side of a triangle that has vertices at (-4,2), (-4,6), and (4,2)?
O A.
415 units
OB.
573 units
OC.
73 units
OD.
V90 units

Answers

Answer:(-4,6)

i dunno it in units lol sowwy

Step-by-step explanation:


In the figure, the horizontal lines are parallel and AB = BC = CD. Find JM.

A.15
B.10
C.5
D. 20

Answers

Answer:

By the transversal theorem, if segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.

Therefore

JK=KL=LM=5

=>

JM=3*5=15

Step-by-step explanation:

I'm really confused about this question is 7f=49

Answers

Step-by-step explanation:

given

7f = 49

f = 49/ 7

f = 7

Hope it will help :)

Answer:

7

Step-by-step explanation:

[tex]7f = 49 \\ divide \: both \: sides \: by \: 7 \\ \frac{7f}{7} = \frac{49}{7} \\ f = 7[/tex]

a hotel ballroom is decorated with tulips, roses and peonies. The ratio of the number of tulips to the number of roses in the ballroom. there are 575 stalks of flowers in the ballroom altogether. how many tulips are there​

Answers

Answer:

200 tulips

Step-by-step explanation:

The computation of the number of tulips are shown below:

Given that

Ratio of number of tulips to number of ratios is 2:3 we can write 8:12

And, the peonies to roses are 1:4 we can write as 3:12

So,

Tulips : Roses : Peonies

8:12:3

Now

Total units of flowers + 8 + 12 + 3

= 23

For tulips it would be

= 575 × 8 ÷ 23 units  

= 200 tulips

A bag contains 10 marbles: 2 are green, 4 are red, and 4 are blue. Tammy chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue?

Answers

There are 10 marbles, out of these 10 there are 4.

The probability of her picking a blue marble is 4/10

This can be simplified to 2/5

Sarah's total payment for her loan was $14,832. What was her monthly payment if
she paid it off after making 36 monthly payments?

Answers

Answer:

412

Step-by-step explanation:

14,832 divided by 36 = 412

Answer:

412

Step-by-step explanation:

412

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