how to see if matrix is one to one calculator

Answers

Answer 1

Answer:

look at the pivots (the leading 1's of the rows)

Step-by-step explanation:

Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.


Related Questions

what is 25 divided by 4(bonus question)

Answers

Answer:

6.25

Step-by-step explanation:

The Great Lakes have a water area of about 2.44 X 105 square
kilometers. One of them, Lake Huron, has a water area of about
6.0 x 104 square kilometers. What approximate fraction of the total
water area of the Great Lakes does Lake Huron represent?

Answers

Answer:

  15/61 ≈ 1/4

Step-by-step explanation:

The fraction is the area of Lake Huron divided by the total area.

  (6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61

This is approximately 15/60 = 1/4.

The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.

• The outside temperature changes -4.8°F in 4 hours. What is the average change in temperature each hour?


-19.2°F

-12.2°F

-1.8°F

-1.2°F

Answers

Answer:

-1.2°F

Step-by-step explanation:

-4.8F = 4 hours

Divide both sides by 4 to get one side to 1 hour

-4.8F/4 = 4 hours / 4

-1.2F = 1 hour

The average change in temperature each hour is -1.2°F

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that the outside temperature changes -4.8°F in 4 hours

We need to find the average change in temperature each hour

To find this we need to use division.

We need to divide -4.8 by 4

-4.8/4

Minus four point eight divided by 4

-1.2

Hence, the average change in temperature each hour is -1.2°F

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Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy

Answers

The number of soda bottles Katie bought is 6

The given parameters are:

Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99

Assume the number of soda bottle is x.

So, we have:

[tex]Total = Pizza + Soda \times x[/tex]

This gives

[tex]23.99 = 14.99 + 1.50\times x[/tex]

Subtract 14.99 from both sides of the equations

[tex]9 = 1.50\times x[/tex]

Divide both sides of the equations by 1.5

[tex]6=x[/tex]

Rewrite the equation as

[tex]x = 6[/tex]

Hence, the number of bottles is 6

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A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.​

Answers

Answer:

-10sin45+15cos60=Hor distance = 5.92 km

-10cos45+15sin60=ver distance = .429 km

resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east

Step-by-step explanation:


I need help completing this question.

Answers

Answer:

9.73556* 10^34

Step-by-step explanation:

A day and a half is 36 hours  ( 1 day is 24 hours)

1.5 days is 24 * 1.5 = 36 hours

P(t) = 300  ( 2) ^ 3t

t = 36

p(36) = 300 * 2^ (3*36)

         = 300  * 2^108

         =9.73556* 10^34

please help 31 pts and brainlist if you give me a step by step explanation on how to do this

Answers

Answer: Hence, by ASA ( Angle side Angle) Rule of congruency two triangles;

Angle ADE = CDF Hence proved.

Step-by-step explanation:Diagram of two triangles are given such that side ED = FD and <AED = < CFD = 90

To Find: TO prove <ADE = <CDF

Solution; In figure ; we can see that <EDA and <FDC are vertically opposite angles and hence are equal.

=> <EDA = <FDC |Vertically opposite angles

<DEA = <CFD = 90 |Given

Also, ED = FD |Given

Hence, by ASA (Angle Side Angle)

Rule of congruency two triangles; <ADE = <CDF

Hence Proved.

Pick the corrrect one form the dropdown

Answers

Answer:

hard

Step-by-step explanation:

you're correct

Solve the system of equations by graphing.
y = 3x - 2
x + y = 6

Answers

x+3x-2=6
4x-2=6
4x+8
x=2

Hope this helps


help with steps
questions on image​

Answers

Answer:

24

Step-by-step explanation:

all odd numbers possible: 1, 3, 5, 7

__ __ __ __

there are 4 possibilities for the first blank

for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used

for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used

for the last blank there is only 1 possibility

so the number of solutions possible is 4 x 3 x 2 x 1 = 24

Guys this is the last question for the day please help me out.

Answers

Answer:

So it's 350 - D - B.

And 350 - A - D.

Hope that helped?

Subtract
x + 3
O A.
-x + 13
; X = -3 or 1
1)(x + 3)
o
O
B.
-x + S
(x - 1)(x + 3)
:X #-3 or 1
O
7x + S
(x - 1)(x + 3)
;X #-3 or 1
o
D.
7x + 13
(x - 1)(x + 3)
;X *-3 or 1

Answers

Answer:

-3

Step-by-step explanation:

x

+

3

=

 

O

A

=

x

+

13

=

X

=

3

=

=

3

1

=

=

3

1

=

=

3

Marty was renting a boat and wanted to get the best plan. Rental plan A charges a fee of
$50 plus $25 per hour. Plan B charges a fee of $10 plus $35 per hour.
Using systems of equations, answer the following questions. Show all your work.
Part A: Write a system of equations the represent the situation. (Be sure to identify the
variables.)

Answers

Answer:

?

Step-by-step explanation:

i'm sorry  i'm just trying to get points this is my test and i need to know the answer and then i found the " Add answer ( 5 points ) and it was like calling my name so i am here now...bye

The system of equations that represent the situation are as follows;

C = $50 + $25h

C = $10 + $35h.

According to the question;

Mary was trying to rent a boat and wanted to get the best plan.

Let C = Charged fees

and h = hours of rental

For Plan A:

Rental plan A charges a fee of$50 plus $25 per hour.

C = $50 + $25h

For Plan B:

Plan B charges a fee of $10 plus $35 per hour.

C = $10 + $35h.

Read more on rental charges;

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Aaron and Kevin are on the school golf team. Aaron buys 6 cheap golf balls and 4 expensive ones for $18.00. Kevin buys 4 cheap and 3 expensive balls for $13.00.

Answers

Cheap = £1.00 each
Expensive =£3.00 each

Which condition in the figure below will
prove l || m?

Answers

Step-by-step explanation:

option C is correct

hope this answer helps you! take care

Answer:

0ption C is correct hope it correct have good day

Step-by-step explanation:

answer???? i need help asap

Answers

Answer:

what kind?

Step-by-step explanation:

Answer:55

Step-by-step explanation:

55

View the lane below and calculate the slope
by using the slope formula

Answers

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line

m = [tex]\frac{12-0}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

The slope of this line is 4.

Step-by-step explanation:

Pick any 2 points on the graph you want, just make sure they land perfectly on where the line meets the grid. I'll pick (1, 4) and (2, 8) here.

The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) and (x2, y2) are the first and second points you picked above. Now, all you need to do is plug those 2 points into the formula and solve.

[tex]m=\frac{8-4}{2-1}\\\\m=\frac{4}{1}\\\\m=4[/tex]

The slope of this line is 4.

Billy is ordering 7 identical sandwiches and a drink. The drink costs $2.5 and the entire order costs $140.5. Write an equation you can use to find the price of a sandwich.

Answers

Answer:  $17.92/sandwich

Step-by-step explanation:

Let S be the price of a sandwich ($/sandwich).

7S is the total cost of the sandwiches.  Add a drink for $2.50 to find the total cost, which we are told comes to $140.50

7S + $2.50 = $140.50

7S = $138

S = $19.7143

It is odd that this includes a fraction of a single penny (0.43 cents).  Something is incorrect in the data given, since this should equal a whole number.  For now, I'll round up to $19.72.  The additional 7*($0.0043) = 4 cents will be treated as a tip.

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer: A. they will have too much butter

Step-by-step explanation: to much

diferencia entre el bote el pase y tiro en el baloncesto

Answers

Answer:

difference between bounce, pass and shot in basketball

Here it is, I hope it shows up clearer

Answers

just answering so no links can answer

can soomeone plz help me
On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate one-year percent change?

Answers

Answer:

13%

Step-by-step explanation:

formula : old number - New number/ old number x 100

So 197,690 - 223,970  / 197,690 x 100

which is about 13% percent after calculation

or 13.2935403915% to be exact

Answer:

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

formula : old number - New number/ old number x 100

So 197,690 - 223,970  / 197,690 x 100

which is about 13% percent after calculation

or 13.2935403915% to be exact

After a rotation, A(-3,4) maps to A/4, 3), B(4.-5) maps to BY-5,-4), and C(1,6) maps to C(6.-1). Which rule
describes the rotation?
O RO 90
O Ra 180°
O Ro 270
ORO 360°

Answers

Answer:

3rd option

Step-by-step explanation:

Under a rotation about the origin of 270°

a point (x, y ) → (y, - x ) , then

A (- 3, 4 ) → (4, - 3 )

B (4, - 5 ) → (- 5, - 4 )

C (1, 6 ) → (6, - 1 )

The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

What is coordinate plane?

The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.

To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.

Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)

Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)

Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)

Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

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Which of the following statements is true?


The range is the set of all input values and is the independent variable.


The domain is the dependent variable and is determined by the range.


The independent variable varies as the dependent variable varies

The independent variable is the input value

Answers

Answer:

TRUE

TRUE

FALSE

FALSE

TRUE

Answer:

first one is true

Step-by-step explanation:

X=8,2x+y=12 solve by substitution show work

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's substitute the value of x as 8 in the given equation to find the value of y ~

[tex] \sf2x + y = 12[/tex]

[tex] \sf(2 \times 8) + y = 12[/tex]

[tex] \sf16 + y = 12[/tex]

[tex] \sf y = 12 - 16[/tex]

[tex] \sf y = - 4[/tex]

Enter the value of :

Answers

Answer:49

Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.

If AB∥ED and m∠ABC = m∠DEF. Prove CB|| EF.

Answers

Explanation:

( ) . . . . stuff that is given

∠ABE ≅∠DEG . . . . corresponding angles at a transversal

∠ABC +∠CBE = ∠ABE . . . . angle addition postulate

∠CBE = ∠ABE -∠ABC . . . . subtraction property of equality

∠DEF +∠FEG = ∠DEG . . . . angle addition postulate

∠FEG = ∠DEG -∠DEF . . . . subtraction property of equality

∠FEG = ∠ABE -∠ABC . . . . substitution property of equality

∠CBE = ∠FEG . . . . substitution property of equality

CB║EF . . . . converse of corresponding angles theorem

What is the unit of time (t) when calculating interest?

Answers

Answer:

t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.

Step-by-step explanation:

 

How is 6% expressed as a fraction in lowest terms

Answers

6% expressed as a fraction in lowest terms is 3/5

Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

Answers

Answer:  35 (choice C)

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

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