Let A be a matrix with independent rows. A. Show that AAT is invertible. B. Show that if b is any vector in Col(A), then the equation Ax = b has a solution in Row(A) given by xR = AT (AAT )−1 b. (The matrix AT (AAT )−1 is called the pseudoinverse of A, and is usually denoted by A+ . It is a right inverse of A, and coincides with the two-sided inverse A−1 if A is square.) c. The mapping of Col(A) to Row(A) given by xR = AT (AAT )−1 b is an isomorphism

Answer:

80.6 m

Step-by-step explanation:

Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.

Length of the shortcut can be found by using distance formula between two points P and Q.

Length of the shortcut

[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]

Answer:

60 cubes

Step-by-step explanation:

10 times 6

6 are in each layer but there are 12 going down layer by layer

so 10 times 6 equal 60

the actuall answer is 60

= 60

Answer:

118000 thousand cents. Jdbduxb

Answer:

28 feet

Step-by-step explanation:

thank you the same as the guy above me

Yes, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

The LD50 is a Lethal dose and 50 represents 50 percent of the test animal's population, that is it will be lethal to half of the tested animals. The amount of a toxic agent (such as a poison, virus, or radiation) that is powered to wipe 50 percent of a population of animals on which it is tested.

Therefore, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

Learn more about LD50 here: https://brainly.com/question/10042271

#SPJ2

Answer:

11:30

Step-by-step explanation:

8:40 + 2 hours = 10:40

10:40 + 20 min = 11:00

11:00 + 30 min = 11:30

Answer:

Step-by-step explanation:

If we subtract 7 from both sides, we get -2 on the right.  This is not possible, since absolute values are always 0 or greater.

Answer:

The answer is 18.1

Answer:

51

Step-by-step explanation:

A^2+b^2=c^2

That's the formula

Answer:

7 oof

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

182.50/36.50 per week= 5 weeks

Answer:

12

Step-by-step explanation:

The sequence starts at 48, and goes down 4 with each term. That means that we just need to subtract 4 from 48 12 times.

Hope that this helps!

Answer: c. √65

Step-by-step explanation:

that’s what’s right on khan

Answer:

9 Minutes

Step-by-step explanation:

5x9=45

Brainliest?

Answer:

no

Step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

[tex]\Huge\bf{\underline{\red \dag { Aиѕωєя }}} \red \dag[/tex]

4 Packs of water and 7 Packs of candy bars.

So, we wanna know the smallest number that both 35 and 20 will go into.

Find the Least Common Multiple (LCM), but to find the LCM we need to find the prime factorization of each of the following number :-

[tex] \sf {35 = 5(7)}[/tex]

[tex] \sf \red {20 = 5(4)}[/tex]

[tex] \sf {4 = 2(2)}[/tex]

[tex] \sf \red {20 = 5(2)(2)[/tex]

~Now multiply all the numbers by 5 :-

[tex] \sf \pink{5(7)(2)(2) = 35(2)(2) = 70(2) = 140}[/tex]

This means she needs 140 bottles of water and 140 candybars.

Water is sold in packs of 35, this means that she needs :

[tex] \sf \orange{ \frac{140}{35} = 4\: packs \: of \: water}[/tex]

Candy bars are sold in packs of 20, this means she needs :

[tex] \sf \green{ \frac{140}{20} = 7 \: packs \: of \: candy \: bars}[/tex]

_________________________

Answer:

5x

Step-by-step explanation:

If the blank were to be occupied with 5x there would be no solutions

Observe...

5x - 8 = 5x + 2

* subtract 5x from each side *

5x - 5x cancels out

5x - 5x cancels out

we're left with -8 = 2

which is not true

Hence if the blank = 5x the equation will have no solution

Answer:

Option b is the correct answer

[tex] (x - 13)^2 + (y - 15)^2 = 49 [/tex]

Step-by-step explanation:

[tex] (x - 13)^2 + (y - 15)^2 = 7^2 [/tex]

[tex] (x - 13)^2 + (y - 15)^2 = 49 [/tex]

Answer:

Step-by-step explanation:

Seperate the shape into two. 16x2=32cm². 12x11=132cm²

So altogether it would = 164cm²

Answer:

A≈314.16

Step-by-step explanation:

Answer:

180° degrees is a straight angle

Step-by-step explanation:

Answer:

180 degrees

Step-by-step explanation:

A full circle is 360 degrees

A half circle is a straight angle

a straight angle is 180 degrees

the answer to your question is 4 times 6, 4 times 3 + 4 times 3

have a nice day

Answer:

the answer to this math question is

4 times 6, 4 times 3 + 4 times 3

Step-by-step explanation:

Aleks Verfied

Answer:

nine hundred thirty-eight one hundred twenty thousandths

Step-by-step explanation:

Answer:

− 1.5 f  −19

that's the correct answer.

Answer:

27.5

This is because you plug the numbers into the equation. Hope this helps!

Answer:

[tex]volume = \frac{4}{3} \pi r^3\\\\Radius = 2 , volume = \frac{32\pi }{3}cm^3 \\\\Radius = 3, volume = 36\pi cm^3 \\\\Radius = 4, volume = \frac{256\pi }{3} cm^3\\\\Radius= 6, volume = 288\pi cm^3[/tex]

Answer:

Equilateral triangles are always acute triangles.

Scalene triangles are sometimes acute triangles.

Right triangles are never acute triangles.

Obtuse triangles are sometimes isosceles triangles.

Step-by-step explanation:

Equilateral triangles are always acute because each angle is 60⁰.

Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.

A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.

An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).

Answer:

d would be correct

Step-by-step explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times  base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.