If you multiply a matrix and its inverse together, you will always get the identity
matrix.
True
False

Answers

Answer 1

Answer:

True

Step-by-step explanation:

If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I. And the point of the identity matrix is that IX = X for any matrix X (meaning "any matrix of the correct size", of course).

Answer 2

Answer:

Yes

Step-by-step explanation: And 1 is the identity, so called because 1x = x for any number x. It works the same way for matrices. If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I.


Related Questions


What is the slope of the line?

Answers

Answer:

y = 2x-3.

Step-by-step explanation:

Slope is y =mx+b. If we look at the graph, the line passes by (0,-3) and (1,-1). Taking rise over run, (y/x), we can find out that y goes up 2 and x goes right 1. This means that it is a positive slope and that slope would be 2/1, simplified to just 2.

A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost LaTeX: CC can be represented by this equation: LaTeX: C=12+a\cdot mC = 12 + a ⋅ m , where LaTeX: aa is the additional charge per minute, and LaTeX: mm is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know LaTeX: CC and LaTeX: aa?

Answers

Answer: M=(c-12)-a

Step-by-step explanation:

this is because your trying to find m and 12a doesn't represent that.

Find the slope (3, 7) (-2, 7)

Answers

Answer:

(-5,0)

Step-by-step explanation:

The X coordinates go down by five = -5

The Y coordinates don't change = 0

I'm pretty sure this is right :)

Hope it helped!

Answer:

Answer Below

Step-by-step explanation:

Hope this helps! <3

find each sum.
17+(-28
12+(-9)
-2+7
-14+(-10)
-9+(-2)

Answers

Answer:

-2834

Step-by-step explanation:

thats the answer

tim has two spinners

Answers

“Tim has two spinners”
Tim has two spinners.

Chris wants to make ½ a batch of chocolate chip muffins. He has a recipe that calls for ¾ cup chocolate chips. If he only wants to make half a batch, then how many cups of chocolate chips should he put in?

Answers

Answer:

ge needs to use 6 tablespoon of chocolate chips

The manager of an apartment building increases the monthly
rent of each apartment in the building by 3% each year. At
the beginning of year 1, the monthly rent of an apartment
was $500.
What was the monthly rent of the apartment at the
beginning of year 3?

Answers

Answer:

The answer is 513

Answer:545

Step-by-step explanation:

An acre is a unit of measure for area. One acre ie equal to 43,560 square feet. Often, an acre is a rectangle that measures 660 feet by 66 feet. However, the length and width of the rectangle can vary. An acre can actually have any shape, as long as it measures exactly 43,560 square feet. Rachel purchased 1/5 acre of land in the shape of an isosceles triangle. What is the area of the land Rachel purchased?

Answers

Answer:

area of land purchased =247

The area of the land Rachel purchased is approximately 10,055.64 square feet.

How to calculate the area?

We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.

To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.

Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".

We know that the area of a triangle is given by the formula:

Area = (1/2) x base x height

So, we can rearrange this formula to solve for the height:

height = 2 x Area / base

Now we can substitute in the values we know:

Area = 8,712 square feet

base = unknown

height = unknown

We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:

base = 2s

We can use the Pythagorean theorem to find the height in terms of s:

s² + (h)² = (2s)²

s² + h² = 4s²

h² = 3s²

h = s x √(3)

Now we can substitute this expression for the height in terms of s into the formula we derived for the area:

Area = (1/2) x base x height

Area = (1/2) x 2s x s x √(3)

Area = s² x √(3)

We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:

s² x √(3) = 8,712

s² = 8,712 / √(3)

s = √(8,712 / √(3))

Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:

base = 2s

base = 2 x √(8,712 / √(3))

Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:

Area = (1/2) x  base x height

Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))

Area = 2 x 8,712 / √(3)

Area = 17,424 / √(3)

Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.

To know more about an area follow

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1) _______ is caused by the weight of air above an area. *
atmospheric pressure
high pressure
low pressure
2) _________ creates less pressure on the barometer *
high pressure
low pressure
3) _______ creates greater pressure on the barometer. *
high pressure
low pressure
4) Read the following statement and determine if it describes high pressure or low pressure. As air cools, it becomes more dense and sinks toward the Earth's surface spinning clockwise. *
high pressure
low pressure

Answers

1: atmospheric
2:low pressure
3:high pressure

1
kg = kg to g. help
g​

Answers

Answer:

100 grams

Step-by-step explanation:

Formala: multiply the mass value by 100

Answer:

1,000g

Step-by-step explanation:

1kg is equal to 1,000 grams, so just convert it.

1 times 1,000 = 1,000

Chris claims that any fraction located between 1/7
1/9 on a number line must have a
denominator of 8. Enter a fraction that shows Chris’ claim is incorrect.

Answers

Answer:

2/15

Step-by-step explanation:

if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15

Solve for the missing value x 2 : 26 = 4 : x

Answers

Answer:

x=52

Step-by-step explanation:

2:26

2*2:26*2

4:52

Solve for x. 25 + 15x = 0

Answers

Answer:

x=−

3

5

=−1.667

Step-by-step explanation:

Answer:

[tex]\sf x=-\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]\sf 25 + 15x = 0[/tex]

[tex]\sf 25+15x-25=0-25[/tex]

[tex]\sf 15x=-25[/tex]

[tex]\sf \frac{15x}{15}=\frac{-25}{15}[/tex]

[tex]\sf x=-\frac{5}{3}[/tex]

Could it be zero? 4(x+2)=10
2. 12-8x=3(x+4)

Answers

Answer:

1) x=0.5

2 x=0

Step-by-step explanation:

Question No. 1

4(x+2)=10

4x+8=10

4x=2

x=0.5

Question No. 2

12-8x=3(x+4)

12-8x=3x+12

8x-3x=12-12

5x=0

x=0

What 2 numbers have a difference of 8

Answers

Step-by-step explanation:

10-2=8 has the difference of 8

The difference of two numbers is obtained using the subtraction operation ; Hence, two numbers whose difference gives a value of 8 are 16 and 8.

There are many possible values where, the value of the two numbers will give a value of 8.

They include;

10 - 2 = 816 - 8 = 812 - 4 = 813 - 5 = 89 - 1 = 8

Therefore, two numbers whose difference gives a value of 8 are 16 and 8.

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X - y/2z=3 solve for x

Answers

Answer:

x =  1 /2 yz + 3

Step-by-step explanation:

The solution of x is 6z.

To find the solution of x.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given that:

A value or values which, when substituted for a variable in an equation, make the equation true.

x-y/2z = 3

multiply 2z in both sides we get,

2z(x-y)/2z = 3 × 2z

simplify the equation,

x - y = 6z

Add y in both sides we get,

x-y+y = 6z + y

x = 6z

So, the solution of x is 6z.

Learn more about algebra here:

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If 5x + 6 = 10, what is the value of 10x + 3 ?

Answers

Answer:

11

Step-by-step explanation:

I need help, quick....

Answers

Answer:

A & B

Step-by-step explanation:

which of the following is equal to (1/a+a)^2 - (1/a-a)^2 ?
A) 0
B) 4
C) 1/a^2 - a^2
D) 2/a^2 - 2a^2
E) 1/a^2 - 4-a^2

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think its b

Step-by-step explanation:

I tried doing the work and got 4 so I hope its b

Go
A triangular parking lot has two sides that are of the same length and the third side is 7 m longer. If the perimeter is 70 m, find the lengths of the sides.

Answers

Answer:

two of the sides are 21 m long and one of the sides is 28 m long

find the measure of angle J .will mark brainiest​

Answers

Answer:

<J=51°

Step-by-step explanation:

3x-2+4x-9+3x-9=180

10x-20=180

10x=200

x=20

<J=3x-9=3(20)-9=60-9=51°

Answer: Angle J = 51°

Step-by-step explanation: All angles add up to 180° in a triangle, so add every angle and set it equal to 180°.

(3x - 2) + (3x - 9) + (4x - 9) = 180

Add like terms:

10x - 20 = 180

Add 20 to both sides:

10x = 200

Divide both sides by 10:

x = 20

Now, plug x into angle J:

3(20) - 9

60 - 9

51

Angle J = 51°

Hope this helps!

Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)−4?



The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

The graph of g(x) is the graph of ​f(x)​ translated 4 units right.

The graph of g(x) is the graph of ​​f(x)​ translated 4 units up.

The graph of g(x) is the graph of f(x) translated 4 units left.

Answers

Answer:

The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

Explanation:

Given the function f(x) and g(x) = f(x)-4

This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.

The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.

Hence the correct option is The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

In the diagram, c | d . Identify three numbered angles that have a measure of 124°.
2.
34
5
124°
d
7
8
<2. < 7 and <1
<2. <4 and <1
<3. <7, and <4
<2. <3 and <7

Answers

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Lines 'c' and 'd' are the parallel lines a transversal line is intersecting these lines.

m∠2 = 124° [Corresponding angles]

m∠7 = 124° [Vertically opposite angles]

m∠2 = m∠3 = 124° [Vertically opposite angles]

Therefore, angles ∠2, ∠7 and ∠3 measure 124°.

Option (4) will be the answer.

4
Solve the following equation: *
3x + 7 = 5x - 15
Enter your math answer
5
Solve the following equation: *
3(2x - 5) = 9x + 24
Enter your math answer

Answers

Answer:

4. x = 11

5. x = -13

Step-by-step explanation:

4.   3x + 7 = 5x - 15

           -7           -7

3x = 5x - 22

-5x   -5x

-2x = -22

-2x/-2 = -22/-2

x = 11

5. 3(2x - 5) = 9x + 24

6x - 15 = 9x + 24

    +15          +15

6x = 9x + 39

-9x   -9x

-3x = 39

-3x/-3 = 39/-3

x = -13

Hope this helps, have a great day:)

6.25w= -106.25 equals what

plz hurry!

Answers

Answer: w = -17

Plzz mark brainliest:)

W= -17 hope this helped have a great day let me know if you need help on anything else and please mark me brainliest!

Solve the question on the interval [0, 2π)
sin^2 θ - cos^2 θ = -3 sin θ - 2

Answers

Answer:

[tex]\frac{7\pi }{6} ; \ \frac{3\pi }{2} ; \ \frac{11\pi }{6}.[/tex]

Step-by-step explanation:

if 1=sin²Q+cos²Q, then cos²Q=1-sin²Q, then

2sin²Q+3sinQ+1=0;

[tex]\left[\begin{array}{ccc}sinQ=-1\\sinQ=-0.5\end{array} \ => \ \left[\begin{array}{ccc}Q=3\pi/2+2\pi *n\\Q=(-1)^n*\frac{7\pi }{6}+\pi n \end{array}[/tex]

on the interval Q=3π/2 (from the 1st equation) and Q=7π/6; 11π/6 (from the 2d equation).

Find the best buy for
a)
shampoo if 8 ounces cost $0.99 and 12 ounces cost $1.47.
b) cereal if 31 ounces cost $1.50 and 16 ounces cost $0.77.
c) soda if 3 cans cost $1.77 and 5 cans cost $1.79.

PLEASE HELPPP

Answers

Answer:

A.  12 oz. for $1.47

B. 16 oz for $0.77

C.  5 cans for 1.79

Step-by-step explanation:

A. Divide them both, cost by quantity.

 0.99/8=0.123

  1.47/12=0.1225

The second option is better since its 0.005 less than the first option.

B. Again, divide both options.

   0.77/16=0.04125

    1.50/31=0.04838

     Second option because it is 0.00713 cents cheaper.

C.  1.77/3=0.59

     1.79/5= 0.36

       Second option is .23 cents cheaper than the first option.

   

Julie has a bag of flour that holds 20 cups of flour. She needs 4 cups for each loaf of bread.
How many loaves of bread can she make? Explain.

Answers

5 because 20 divided 4 = 5.
she can make 5 breads because if they need 4 cups of flour to make bread and there’s only 20 cups you simply divide 20/5 and it give 4 so four loaf breads

Can someone please help, ty!!
(Will mark brainliest)

Answers

it should be two hours man

Suppose you invested 2000 in a compound interest account earning 10% per month. How much would you have in your account at the end of 5 months?​

Answers

Answer:

she ate my. s aa a awwosewrtfgfdswertyu

Step-by-step explanation:

wwwwojwojwowj

Answer:

$3,221.02

Step-by-step explanation:

Month 1: $2000 x 1.10 = $2,200

Month 2 = $2,200 x 1.10 = $2,420

Month 3 = $2,420 x 1.10 = $2,662

Month 4 = $2,662 x 1.10 = $2,928.2

Month 5 = $2,928.2 x 1.10 = $3,221.02