Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.

Answers

Answer 1

Answer:

Let A be a 3 X 4 matrix. If

b = a1 + a2 + a3 + a4

then what can you conclude about the number of solutions of the linear system Ax=b?

Explain.

The system has infinitely many solutions

Step-by-step explanation:

Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.

Since the matrix contains 3 rows there can be 3 nonzero rows and consequently

3 lead variables at most after we compute the row echelon form of the matrix

At least of the variables is free variables is free variable.

The system has infinitely many solutions


Related Questions

Which statement is most likely to be true for this distribution?

A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.

Answers

Answer:

B. The mean is less than the median.

Step-by-step explanation:

Calculate the mean: 2.8

Calculate the median: 3

Therefore, the mean is less than the median.

Which expression is equivalent to w4−25w2+144
?

(w2+9)(w2−16)

(w−3)(w+4)(w−3)(w−4)

(w−3)(w+3)(w2−16)

(w2−9)(w2+16)

Answers

Sorry I’m just commenting to do it

Suppose that $2000 is invested at a rate of 2.6 %, compounded quarterly Assuming that no withdrawals are made the amount after 8 years

Answers

A = p(1+r/n)nt A = final amount p = principal = 2000 r = interest rate = .04 n = # times compounded pet year = 2 t = time in years = 7  A = 2000(1+.04/2)2(7) A = 2000(1.02)14 A= 2638.957HOPE IT HELPS.....

Bryanna is thinking of two numbers. Their sum is −7. One of the numbers is 11. Write an
equation and solve to find the other number.

Answers

Answer:

-18 is the answer please brainlist

Step-by-step explanation:

How will increasing her salary affect the median and mean ?

Answers

Answer:

Her increasing the salary will mean

Step-by-step explanation:

Help pleasee needed

Answers

Answer:

Yes

AA similarity

DCE

Step-by-step explanation:

plz give thx and brainliest!

Solve for g.
3(q - 7) = 27

g=

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3(q-7)=27  Equation

Step 2

3(q-7)=27  Simplify

3q-21=27

Step 3

3q-21=27 subtract +21

3q=48

Step 4

3q=48  Divide

answer

Q=16

Hope this helps

what is the point of this

Answers

Answer:

B and I are both coplanar

Step-by-step explanation:

there are 8 playing cards in a bag. 2 of those cards are spades. what is the probability of picking a spade randomly from a bag?
answer as a simplified fraction in form a/b

Answers

Answer:

thanks for the points

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

4 pounds of grapes cost $11.52. what is the unit rate?

Answers

Answer: 2.88/1

Step-by-step explanation:

What is the value of x, given that f, g, and h are parallel to each other?

Answers

Answer:

B)2

Step-by-step explanation:

to understand thisyou need to know about:parallel linesPEMDASlet's solve:

since f || h the length of two lines have to be equal

according to the question:

11x=7x+811x-7x=84x=8x=8/4

hence,

x=2

plz help me math work question in photo​

Answers

It’s b or a hope this helps

the answer is C.

the exponent of 10 is -2, so the decimal point will move to the left two spaces which makes .0254 mm

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x+y = 6
x - y = 0
I’ve been stuck for almost a hour pls help . if not it’s cool

Answers

Point form (3,3)

x=3 , y=3

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!

Answers

1/8 y -1 +1 < -5+1
1/8 y < -4
8*(1/8y)< (-4)*8
Y < -32

What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Answers

Answer:

You're supposed to start at the zero

Just answer Number 5, I got the rest.

Any spam will be reported/deleted.

Answers

Answer:

30

Step-by-step explanation:

so one of them is 90, one of them is 60

180-150 = 30

so 30

500+100 = ?? A700 B800 C600

Answers

Answer:

C

Step-by-step explanation:

Add the hundreds together

Answer: 500+100=600

Step-by-step explanation:

You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years? Give your answer in dollars to the nearest dollar.

Answers

Answer:

348,750 dollars in 3 years

Step-by-step explanation:

   You inheritanced 15,500 dollars. You put that into a account which has a 7.5% interest rate for one year. 15,500 x 7.5 = 116,250 a year. now you want to know how much that'll be in 3 years multiply 116,250 x 3 = 248,750.

(I'm sorry if this is incorrect i tried doing the math correctly!)

Answer:

Step-by-step explanation:

I = P x r x t

p=15500

i=7.5% must change to decimal of 0.075

t= 3 (years)

In this case

I= 15,500 X 0.075 X 3=  3,487.5

(1, 162.5 x 3)= 3487.5

Solved to nearest dollar of 3,488

3z - 3
when z = 7

pls respond asap

Answers

3 • 7=21-3=18 there urs answers

yoooo i need help lmk the answers​

Answers

well the answer is 6 soo
The answer to your question is 6

What is the decimal equivalent of 1/18

Answers

The decimal equivalent of 1/18 is 0.125

0.125
Hope this helps!!!

5. Carolina drives on I95 for 90minutes (1.5hr) going 45mi/hr. How far did she get?

Answers

Answer:

67.5 miles far

Step-by-step explanation:

As per MBTI personality people work
based on hunches and feelings use
their imagination and get the main
idea while missing some of the facts
are
Select one:
a. Thinking
b. Sensing
c. Introversion
d. Intuition

= Intuition ​

Answers

Step-by-step explanation:

As per MBTI personality people work

based on hunches and feelings use

their imagination and get the main

idea while missing some of the facts

are intuition

ANSWER FAST PLS HAVE 5 MIN FOR THIS


Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x

Answers

Answer:

Y=375x

Step-by-step explanation:

thats the answer

Select 5.3125 as a mixed number in simplest form

Answers

Fsgjkmnsffsrliu qghjkfeeefhjihg

1/2x+3=2x is...
a)x=6
b)x=4
c)x=2
d)x=1

Answers

The answer is C.2 I’m pretty sure
The answer is C!!! Make sure to like this comment please!

Which of the following equations was used to graph the line shown pls help

Answers

The answer is A. y=2x

SUPER EASY QUESTION!!! HOW SMART ARE YOU? Which number has a 3 with a value that is 100 times greater than the value of the 3 in 20.342? Here are the answer choices choose wisely : 36.25 108.173 423.06 or 307.18

Answers

Answer:

36.25 ez I’m big brain

Step-by-step explanation:

A figure is created by using four semicircles and a rectangle. which is closest to the area of the figure? ​

Answers

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

Find the nth term of
1x2x3+2x5x6+3 x 4x​

Answers

Answer:

66+12x

Step-by-step explanation:

1x2x3+2x5x6+3x4x

6+60+12x

66+12x

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