Answers
Multiply on the right by the transpose of the matrix on the left side:
[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}[/tex]
[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top[/tex]
The transpose is just the same matrix with the entries reflected along the main diagonal:
[tex]\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}^\top=\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]
So
[tex]X\begin{bmatrix}1&-1&2\\3&0&1\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}=\begin{bmatrix}-5&-1&0\\5&-2&5\end{bmatrix}\begin{bmatrix}1&3\\-1&0\\2&1\end{bmatrix}[/tex]
[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}[/tex]
Now multiply on the right by the inverse of the matrix on the left side:
[tex]X\begin{bmatrix}6&5\\5&10\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]
[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}[/tex]
The inverse is
[tex]\begin{bmatrix}6&5\\5&10\end{bmatrix}^{-1}=\frac1{60-25}\begin{bmatrix}10&-5\\-5&6\end{bmatrix}=\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}[/tex]
So
[tex]X=\begin{bmatrix}-4&-15\\17&20\end{bmatrix}\begin{bmatrix}2/7&-1/7\\-1/7&6/35\end{bmatrix}=\boxed{\begin{bmatrix}1&-2\\2&1\end{bmatrix}}[/tex]
Related Questions
What value of y makes this true?
25 - y< 15
Answers
Answer:
Anything that is 11 or greater
Step-by-step explanation:
please make brainliest
Answer:
y is greater than 10
Step-by-step explanation:
(10, undefined)
20 characterssssssss
Answers
And draw 8 regular pucks representing the other wins not by Colin.
3 Xavier sketches several designs for a math club
Concept Application
pin. The math club voted for the pin shape to
be a right triangle. Which of the following
triangles could NOT be the shape used for the
math club pin?
13
17
А
12
15
26
D
24
12
Answers
Answer:
D ...
Step-by-step explanation:
Use the Pythagorean Theorem to figure out which triangle is NOT a right triangle. Square each leg and add them together. Then, square the hypotenuse (longest side). If the sums are equal, then the triangle IS a right triangle.
Pythagorean Theorem:
a(a) + b(b) = c(c) ; a squared plus b squared equals c squared
6(6) + 24(24) =? 26(26) ; leg a =6, leg b=24, hypotenuse=26
36 + 576 =? 676 ; simplify
612 =? 676 ; is 612 equal to 676?
Which expression is equivalent to 7(-7v - 7) - v?
-49V - 50
-50v - 49
-8V - 49
-50v - 7
Answers
Answer:
-50v - 49
Step-by-step explanation:
Just distribute you can even use a calculator
what is the mystery number 1,2,4,8,16,32
Answers
Answer:
64
2×32=64............
Can y’all help me on question 4?! I would really appreciate it have a good day!
Answers
Answer:
15:2
Step-by-step explanation:
If you take 45 / 6 you will end up with 7.5
You can't have a ratio with a fraction. So to get a whole number you multiply 7.5 by 2 to get a full number. Therefore 15:2
9514 1404 393
Answer:
D. Volcanic Gray
Step-by-step explanation:
The ratio of paint used is ...
black : white = (4 gal) : (1/2 gal) = 8 : 1 . . . . . . multiply given numbers by 2
This matches the ratio in the table for Volcanic Gray.
ada needs to simplify the expression below.
50 minus 20 + 5 times 2.5 divided by 4
Which operation should she perform first?
addition
subtraction
multiplication
division
Answers
Answer:
multiplication
Step-by-step explanation:
PEMDAS
Multiplication
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answers
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12
A sum of money was divided bety
Mary and Dónal. Mary got of 5/8
he money and Dónal got the res
Dónal got €2:40, how much did Mary get
Answers
Answer:
4.00
Step-by-step explanation:
each one of the eights is 80 cents. the way to figure it out was to just divide it by 3 or in a different place however many fractions you have/need.
What is the answer for (1-2g + 4h)•5?
Answers
Answer:
-10g +24 + 5 hope this helps
Step-by-step explanation:
1-2g+20h
You have to cancel out the factors
Identify the domain, range and x-intercept of the function below.
Answers
range: the y values it spans across^
x-intercept: where does it hit the x axis? (hint: it intersects at 2 different points)
yea um help a girlie out
Answers
Answer:
U (-10,-7)
V ( -10,-1)
w (-1, -9)
Step-by-step explanation:
So you are lucky I just did this unit lol so i got the answer
When doing any rotation around the origin, only one number changes integers if it is 90 degrees, in this case rotating 90 degrees will cross the y axis.
This means the y value will remain the same but the integer for the x values will switch.
So the new values are:
U (-10,-7)
V ( -10,-1)
w (-1, -9)
i hope this helps!
pls give thx and brainliest. ;)
Which equation can be represented by the model shown
please help me giving 25 points
Answers
A 15 inch string is cut. One piece is 7.2 in. Which equation shows how to find the 2nd length?
how did you get the answer i need the fast hurry please
Answers
Answer:
7.2+x=15
x=15-7.2
x=7.8
please help! due in 1 hour!
Answers
Multiplier method to decrease £262 by 39%
Answers
Answer:
159.82
Step-by-step explanation:
262 100 let unknown be "x"
x 61
262 x 61 = 100x
15982= 100x
15982/100 = x
x= 159.82
Complete the inequality for this graph.
y
Answers
5
Step-by-step explanation:I had the same exact question and 6 was incorrect but when I tried 5 it passed. Hope this helped and have a good one!
The linear inequality that represents the graph will be y < x + 5.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
From the graph, the two points are (0, 5) and (-5, 0). Then the linear inequality is given as,
(y - 0) < [(5 - 0) / (0 + 5)](x + 5)
y < x + 5
The linear inequality that represents the graph will be y < x + 5.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ2
if mia Khalifa was black what would her situation be
Answers
Answer:
i really don’t know
Step-by-step explanation:
that’s an interesting question
Answer:
i dont know but can we do rp on pad.let?
Step-by-step explanation:
1FAIpQLSedW9GapWiDC2a GDq7zacl2q8GRC22fKMRIPSYONQVv3r3S5A/... ☆
1-7 Word Problem...
Your answer
1 point
You are building a deck onto your house. The deck will be 5 meters long
and 8 meters meters wide. How many square CENTIMETERS will the deck
cover? Answer with numbers only (commas are okay to include).
Your answer
Answers
4,000 CM^2
first you multiply 8 by 5 to find out the square meters then you Multiply 100 because that's how many centimeters are in a meter and that equals 4,000.
2x+6y=21 and -2x+3y=24 using the elimination method and write as an ordered pair
Answers
Answer:
(-0.5,7.66)
Step-by-step explanation:
2x+6y=21
-2x+3y=24
so 3y=24+2x
reduce
y=(24+2x)/3
substitute for y
2x+6(24+2x/3)=21
2x+(72+12x)/3=21
2x+24+4x=21
6x=-3
x=-0.5
y=(24+-1)/3=7.66
Please this is due in 1 hr and8 minutes...
Please don’t answer this with one answer, blank or ridiculous answer this is serious....
Answers
Answer:
Side XY is 6 units
Step-by-step explanation:
The order of ∆ QRS will be the same as the order of ∆ XYZ and the corresponding order between the 2 are congruent.
Angle Q is congruent to angle X because they are listed first. Angle R is congruent to angle Y because they are listed second. Angle S is congruent to angle Z because they are listed third.
We can see that side QR is 6 units. The corresponding side on triangle XYZ is side XY.
Superman needs to save Lois from the clutches of Lex Luthor. After flying for 8 seconds, he is 1692
meters from her. Then at 16 seconds he is 1284 meters from her.
How close to Lois is Superman after 29 seconds?
Answers
408/8 = 51 meters per second is his rate of speed.
51 x 29 = 1479 meters
BUT he was 1284 meters away, so by traveling 1479 meters, he passed her.
1479 - 1284 = 195 meters past her.
He is 195 meters away from Lois at 29 seconds.
Now we could argue, since Superman is not a fool, he would’ve stopped at Lois. But that’s not what your math teacher is looking for ;)
A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3?
Answers
Answer:
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
Suppose we have two events, A and B, that are independent. The probability of both happening is given by:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
Event A: Selecting a prime number.
Event B: Selecting a number less than or equal to 3
Probability of selecting a prime number:
Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So
[tex]P(A) = \frac{4}{10}[/tex]
Probability of selecting a number less than or equal to 3:
Three numbers(1,2,3) out of 10. So
[tex]P(B) = \frac{3}{10}[/tex]
Probability of both:
[tex]P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12[/tex]
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
PLEASE HELP ME
6. Frankie graphed a quadratic function with a
vertex in Quadrant I. Which of the following
could be Frankie's function?
a. f(x) = -3x2 + 24x – 4
b. f(x) = x2 – 2x + 10
c. Both a and b
d. Neither a nor b
Answers
I took the test
5. The daily temperature recorded (in degree F) at a place during a week was as under:
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
35.5
30.8
27.3
32.1
23.8
29.9
Find the mean temperature.
Answers
Answer:
29.9 °F
Step-by-step explanation:
The formular for mean is given as;
Mean = Sum of Terms / Number of terms
Number of terms = 6
Sum of terms = 35.5 + 30.8 + 27.3 + 32.1 + 23.8 + 29.9 = 179.4
Mean = 179.4 / 6 = 29.9
1. Allen had 12 goals on the season. If he
played in 8 games, how many goals did
he average per game? Round your answer
to the nearest hundredth.
A. 0.67
B. 1.5
C. 2.3
D. 3.2
WILL MARK Brainlyest
Answers
Answer:
B. 1.5
Step-by-step explanation:
12/8 = 1.5
What is the solution of this linear equation system? y = 3x-2 y-2 = x
Answers
Answer:
(2,4)
Step-by-step explanation:
Replace all occurrences of y with 3 x − 2 in each equation.
3x - 4 = x
y= 3x -2
Solve for x in the first equation.
x = 2
y = 3x - 2
Replace all occurrences of x with 2 in the equation.
y = 4
x= 2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2,4)
hope this helps :)
find all possible values of x if these represent side of a triangle 2x,5-x,4
Answers
Answer:
-1/3 < x < 3 or x = (-1/3, 3)Step-by-step explanation:
Given sides of a triangle:
2x, 5 - x, 4Triangle inequality theorem:
Any side is smaller than the some of the other two.Apply to the given triangle:
2x + 5 - x > 4 ⇒ x > -12x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/35 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3Combine all the inequalities:
-1/3 < x < 3x = (-1/3, 3)what is 6 * 8/5 as a fraction
Answers
Answer:
48/5 or in simplified version its 9 3/5
Step-by-step explanation:
Answer:
9 3/5
Step-by-step explanation:
Evaluate (y - 9) + (3 + x), when y = 15 and x = 5
Answers
Answer:
14
Step-by-step explanation:
It says 'Evaluate (y - 9) + (3 + x), when y = 15 and x = 5'.
So we'd put 15 in y's place. It'll look like this (15 - 9).
Then we'd put 5 in x's place. It'll look like this (3 + 5).
You subtract (15 - 9) which equals 6. And you'd add (3 +5) which equals 8. You add 6 + 8 together since those are your answer for the parentheses. Your final should be 14. Hopefully this helped!
