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.
To learn more about the matrix at
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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?
Answer:
412
Step-by-step explanation:
14,832 divided by 36 = 412
Answer:
412
Step-by-step explanation:
412
suppose that the population of deer in a state is 16,000 and is growing 1%each year Predict population after 6 years
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
What is the difference between |-3|and -3?
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!!!
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
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
Write the fraction in lowest terms.
14/37
3-3(x-2)
simplify the expression
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
Answer:
-1/20
look at the pic i have sent you, this might help you!
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
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.
Edwin drove at a constant speed and traveled 182.4 miles in 3 hours. What is his rate in miles per hour?
Reduce to simplest form
+
Answer:
?
Step-by-step explanation:
What is the question?
. 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
Answer:
bat di mo masagotan bobo kaba ikaw somagot nyan kasi dapat nagaaral kanangmabuti hayop ka wag kang mag patolong
GEOMETRY HELP ME
Find the measures of all the angles listed and if the lines are parallel explain why?
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
Please help me it hard
What is the y-intercept for y = 4x + 7
Answer: -7 is the y intercept
Step-by-step explanation:
help please!!! thanks
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
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
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.
Please please help me in the question someone
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
In the figure, the horizontal lines are parallel and AB = BC = CD. Find JM.
A.15
B.10
C.5
D. 20
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:
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?
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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WILL MARK BRAINLYIST
put median or altitude for the first part
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
Answer:(-4,6)
i dunno it in units lol sowwy
Step-by-step explanation:
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
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
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
Answer:
C :35
Step-by-step explanation:
3to5 purple to green
times each side by 7 or add the same number repeatedly
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?
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?
I'm really confused about this question is 7f=49
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]
plzzz help will give brainiest
select the most precise name of quadrilateral MNOP given the coordinates of M N O P
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.
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!!!
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
Please help for instant brainliest.
Find an equivalent ratio for the ratio 6 to 7.
42
53
13
14
54
36
49
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