Answer:
a) ∝A ∈ W
so by subspace, W is subspace of 3 × 3 matrix
b) therefore Basis of W is
={ [tex]{\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right][/tex] [tex],\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right][/tex] [tex],\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right][/tex]}
Step-by-step explanation:
Given the data in the question;
W = { A| Air Skew symmetric matrix}
= {A | A = -A^T }
A ; O⁻ = -O⁻^T O⁻ : Zero mstrix
O⁻ ∈ W
now let A, B ∈ W
A = -A^T B = -B^T
(A+B)^T = A^T + B^T
= -A - B
- ( A + B )
⇒ A + B = -( A + B)^T
∴ A + B ∈ W.
∝ ∈ | R
(∝.A)^T = ∝A^T
= ∝( -A)
= -( ∝A)
(∝A) = -( ∝A)^T
∴ ∝A ∈ W
so by subspace, W is subspace of 3 × 3 matrix
A ∈ W
A = -AT
A = [tex]\left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right][/tex]
= [tex]a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right][/tex] [tex]+b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right][/tex] [tex]+c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right][/tex]
therefore Basis of W is
={ [tex]{\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right][/tex] [tex],\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right][/tex] [tex],\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right][/tex]}
Correlation always implies causation. Is this statement correct?
Answer:
Correlation does not always imply causation. (It's not correct)
Step-by-step explanation:
Correlation tests 2 variables' relationship, but just because they are related does not mean they necessarily cause each other.
Someone help me plzz
Answer:
Its A, 8
Step-by-step explanation:
Answer: i think 24
Step-by-step explanation:
Factor.
Please helppp
HELP ME ASAP FOR BRAINLIEST!!
Mrs. Lopez made 12 ½ gallons of sweet tea for a celebration. How many quarts of sweet tea did Mrs. Lopez make?
(ask for brainliest)
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
Answer:
Its 12 U^U
Step-by-step explanation:
subtract 9x from each side
3y = 12 - 9x
divide by 3
y = 4-3x
f(x) = 4-3x
Select the correct answer.
Tia made a scale drawing of the White House for her history project. The actual length of the building is 168 feet, and its width (with porticoes) is 152 feet. If the scaled length of the building in the drawing is 21 inches and the width is 19 inches, what scale did Tia use to make the drawing?
A.
1 inch to 6 feet
B.
1 inch to 7 feet
C.
1 inch to 8 feet
D.
1 inch to 9 feet
E.
1 inch to 10 feet
Answer:
c
Step-by-step explanation:
Answer:
C. 1 inch to 8 feet
Step-by-step explanation:
168 / 21 = 8
152 / 19 = 8
Hence, the answer is C.
Please mark as Brainliest!!!Harry drives 6 miles north while Selma drives 8 miles east. How far apart are Harry and Selma when they stop?
PLS ANSWER PLSSSSSSSSS
solve the value of x 5(2x+1)
Consider the complementary angles shown below. Find the value of x. X + 4 3x + 2
Answer:
x = 21
Step-by-step explanation:
For the complementary angles, the sum of two angles is equal to 90 degrees.
ATQ,
3x+2+x+4 = 90
Taking like terms together,
3x+x+6=90
4x+6=90
4x = 84
x = 21
So, the value of x is equal to 21.
The drawing shows the irregular figure that is the outline of the swimming pool in Mr. Garcia’s backyard. He wants to place a tile border around the pool. Which is the best estimate of the amount of tile Mr. Garcia will need?
12 m
25 m
35 m
40 m
Answer:
its 25m your welcome
Step-by-step explanation:
Answer:
C. 27
Step-by-step explanation:
Other persons wrong^
If f(x)=2x3+4x2, find f(-3)
Answer:
-72
Step-by-step explanation:
2x^3+4x^2
2(-3)^3+4(-3)^2
-6^3+-12^2
-216+144
-72
The base of a right prism is a regular hexagon with side 4. The height of the prism is 6. Find the lateral area and volume.
Answer:
(i) The lateral area of the right prism is 144 square units
(ii) The volume of the right prism is 249.42 cubic units.
Step-by-step explanation:
The lateral area of the right prism is calculated as;
Lateral area = perimeter of the base x height
Given;
a side of the hexagon base, s = 4
height of the prism = 6
perimeter of the hexagon = 6s
Lateral area = (6 x 4) x 6
Lateral area = 144 square units
Volume of the right prism is calculated as;
V = base area x height
base area of a hexagon = [tex]\frac{3\sqrt{3} \ \times \ s^2}{2}[/tex]
Volume of the right prism = [tex]\frac{3\sqrt{3} \ \times \ s^2}{2} \ \ \times \ \ h\\\\[/tex]
[tex]V = \frac{3\sqrt{3} \ \times \ (4)^2}{2} \ \ \times \ \ 6\\\\V = 249.42 \ cubic \ units[/tex]
On Monday, Kevin spent 4/5 of an hour working on his homework, on Tuesday he spent 2/3 of an hour on his homework and on Wednesday he finished his homework in 7/10 of an hour. How long did Kevin spend doing homework on Monday, Tuesday, and Wednesday in all?
Answer:
1.167
Step-by-step explanation:
4/5 + 2/3 + 7/10
LCM 5 * 3 * 2 = 30
24/30 + 20/30 + 21/30
65/30 = 1 5/30 = 1 1/6 = 1.167
I GIVEREEE BRAINLILSTTTTTTTTTTTTT
Answer:
the new coordinates would be B´(1,0), C´(1,7), D´(-3,-3)
Step-by-step explanation:
you do this by taking each number and adding by the scale factor of 2!! hope this helps
Let's say there is man who is 5.10 ft tall who doesn't know how to swim. Let's say he wants to swim in a lake with an average depth of 5.6 ft. What's the probability of his survival assuming that when the the lake depth surpases his height, he dies.
Answer:
uhhh not a very good chance im guessing.
I GIVEEEEEEEEE BRAINLISTTTT
Answer:
(x,y)--> (x+4,y-4)
Step-by-step explanation:
10 pts
✓
If the distance between
Los Angeles and
San Francisco is 2 inches
on the map, how
far apart are they in
real life?
Los Angeles
Answer:
347.53 mile or 22019500.8 Inch
Find the x and y intercepts algebraically.
X + 3y = -3
Answer:
x=(-3,0)
y intercept= (0,-1)
Step-by-step explanation:
to find the x-intercept you need to substitute 0 for y and solve for x. To find the y intercept, substitute 0 for x and solve for y.
HELLPPPPP PLEASE I need it
Answer:
I think it is the third one
Step-by-step explanation:
If you default on a credit card, loan or even your monthly internet or utility payments, your account could be sent to a debt collection agency. Unpaid debts sent to collections hurt your credit score and may lead to lawsuits, wage garnishment, bank account levies and harassing calls from debt collectors
Bill needs to get on the roof of his house
Answer:
okayyyyy tell bill to go and get a ladder thennnn
pls help and show work
Answer
y=5x−10.
Explanation:
The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=3, y1=5, x2=2, y2=0.
Plug the given values into the formula for slope: m=(0)−(5)(2)−(3)=−5−1=5.
Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).
b=5−(5)⋅(3)=−10.
Finally, the equation of the line can be written in the form y=mx+b.
y=5x−10.
Answer:
The slope of the line is m=5.
The equation of the line in the slope-intercept form is y=5x−10.
The equation of the line in the point-slope form is y−5=5(x−3).
The equation of the line in the point-slope form is y=5(x−2).
The general equation of the line is 5x−y−10=0.
Frank invests $5100 for 8 years at a simple interest rate of 5%. How much interest will he earn? What will his total value be?
Answer:
A = P(1 + r)t
Step-by-step explanation:
Or this formula:
[tex]A = P(1 + \frac{r}{n} )[/tex]
Help PLSSSS!
I need a equation based on the problem
Answer:
y=20x
Step-by-step explanation:
What is the exact value that is 23% of 2302?
Answer: 529.46
Step-by-step explanation:
Of means to multiply so multiply 23% by 2302 to find the number.
23% * 2302 =
0.23 * 2302 = 529.46
I GIVEEEE BRAINLILSTTT
Answer:
A(3, 0)
B(-5, 6)
C(-2, -3)
Statement J is the answer
if three force are acting on a body and they are in equilibrium if force 1 is 1200N at 51.3 degree and force 2 is 1400N at 42 degree find force 3
Tvtvvrtbtbbtb b trbbbAnswer:
Btrreqrveq
Answer:
Step-by-step explanation:
16. On a scale drawing of an office space floor plan, 1 inch represents 3
feet. The length of the copier room measures 7 inches on the floor
plan. How many feet does that represent?
Answer:
7
Step-by-step explanation:irk
The number of feet that represents the length of the copier room measures 7 inches on the floor plan will be 21 feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
On a scale drawing of an office space floor plan, 1 inch represents 3 feet. Then the scale factor is given as,
Scale factor = 3 / 1
Scale factor = 3 feet per inches
The length of the copier room measures 7 inches. Then the number of feet that represents 7 inches is given as,
⇒ 7 x 3
⇒ 21 feet
The number of feet that represents the length of the copier room measures 7 inches on the floor plan will be 21 feet.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ5
PLEASE HELP ME FAST!
Angela earned 90% on her unit 2 test. If there were 18 questions on the test, how many questions did she answer correctly?
Answer:
She answered 16.2 of the questions correct.
Step-by-step explanation:
First you have to move the decimal point on the 90% 2 places to the left so it's 0.90 and then you multiply that by 18 to get 16.2.
Which equation represents a line that is parallel to y = -2x - 5?
OA -2x + y = -5
B. x-2y = -5
O c 2x - y = 0
D. 2x + y = 7
Answer:-2x+y=-5
Step-by-step explanation:
Answer: B
Step-by-step explanation: