For matrix [tex]\(A = \begin{bmatrix} 3 & 1 & 1 \\ 1 & 1 & 3 \\ 3 & 0 & 2 \end{bmatrix}\)[/tex], we can compute the eigenvalues and an orthonormal eigen-basis. The matrix [tex]\(A = \begin{bmatrix} 0 & 4 & 1 \end{bmatrix}\)[/tex] is nonsingular, and we can find its QR factorization.
To compute the eigenvalues and eigen-basis for matrix [tex]\(A = \begin{bmatrix} 3 & 1 & 1 \\ 1 & 1 & 3 \\ 3 & 0 & 2 \end{bmatrix}\)[/tex], we solve the characteristic equation [tex]\(\text{det}(A - \lambda I) = 0\)[/tex], where [tex]\(\lambda\)[/tex] is the eigenvalue and I is the identity matrix. By solving this equation, we find the eigenvalues [tex]\(\lambda_1 = 4\), \(\lambda_2 = 2\)[/tex], and [tex]\(\lambda_3 = 0\)[/tex]. To find the corresponding eigenvectors, we substitute each eigenvalue back into the equation [tex]\((A - \lambda I)v = 0\)[/tex] and solve for (v. Normalizing the eigenvectors, we obtain an orthonormal eigen-basis for A.
For the matrix [tex]\(A = \begin{bmatrix} 0 & 4 & 1 \end{bmatrix}\)[/tex], to show that it is nonsingular, we check if its determinant [tex]\(\text{det}(A)\)[/tex] is nonzero. If the determinant is nonzero, then the matrix is nonsingular. In this case, the determinant of A is -4, which is nonzero, indicating that A is nonsingular. To find its QR factorization, we can decompose A into the product of an orthogonal matrix Q and an upper triangular matrix R, such that [tex]\(A = QR\)[/tex]. By performing the QR factorization, we obtain the matrices Q and R.
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Write a proportion for the number of strands in each color to find how many strands are needed to make one pom-pom.
white strands: w/80=?/?
blue strands: b/80=?/?
red strands: r/80=?/?
Answer:
white: w/80 = 35/100
blue: b/80 = 25/100
red: r/80 = 40/100
Step-by-step explanation:
Elaine scored 19 out of 24 on her science test.
Addison had 81.25% on the same test.
Who did better?
How do you know?
Answer:
Addison scored a better score on the test.
Step-by-step explanation:
Elaine's score can be found by dividing 19 by 24, which yields a result of 0.7916, which means her score is a 79 out of 100 (79%). Her score can also be found by doing 100/24 = 4.16666 repeating and multiplying that by 19, which also yields 79.6. Hope this helps!
For a rectangle the length is 3x+4 and the perimeter is 10x+18, what is the width of the rectangle? Show your work.
BRAINLIEST, 5 STAR REVIEW, AND THANKS IF CORRECT!
. factorise a^2 -b^2c^2
Hi there.
Glad to see you using Brainly!
Equation:
a^2-b^2c^2
Then, multiply the terms with equal exponents.
(We can do this by multiplying their bases)
After:
a^2 - (b c)^2
Now, using a^2 - b^2 = (a-b)(a+b) we factor.
Therefore, after using that we get:
(a-bc) x (a+bc)
Therefore, our solution is
(a - bc) x (a+bc)
Thanks for using Brainly!
- Tutor John
Answer:
[tex] {a}^{2} - {b}^{2} {c}^{2} = (a - bc)(a + bc) [/tex]
Help me thank you please explain as well
Answer:
111°
Explanation:
Based on the F angles theorem, ∠ABH = ∠BFE = 69°,
and based on BE ≅ BF, ∠BEF must also be 69°.
∠DEB is supplementary to ∠BEF, so
∠DEB = 180 - 69 = 111.
The stair is inches high.
Answer:
12
Step-by-step explanation:
If x = 14, which equation is true?
Answer:
You have to give us the equations that are listed.
Step-by-step explanation:
I would love to help, but I need more info.
please can someone help me with this question
9514 1404 393
Answer:
96
Step-by-step explanation:
For each of the 4 items in the first column, Dave can choose any of the 6 items in the second column.
For each of those 4×6 = 24 combinations of items, Dave can choose any of the 4 items in the third column.
The total number of choices Dave can make is ...
4×6×4 = 96 . . . different combinations
Answer:
96 different combinations
:)
solve equation 2(4b-6)=4(3b-7)
Answer:
2(4b - 6) = 4(3b - 7)
This is
8b - 12 = 12b - 28
Now,
16 = 4b
This means that b = 4 :)
Answer:
[tex]\boxed {b = 4}[/tex]
Step-by-step explanation:
Solve for the value of [tex]b[/tex]:
[tex]2(4b - 6) = 4(3b - 7)[/tex]
-Use Distributive Property:
[tex]2(4b - 6) = 4(3b - 7)[/tex]
[tex]8b - 12 = 12b - 28[/tex]
-Take [tex]12b[/tex] and subtract it from [tex]8b[/tex]:
[tex]8b - 12 - 12b = 12b - 12b - 28[/tex]
[tex]-4b - 12 = -28[/tex]
-Add [tex]12[/tex] to both sides:
[tex]-4b - 12 + 12 = -28 + 12[/tex]
[tex]-4b = -16[/tex]
-Divide both sides by [tex]-4[/tex]:
[tex]\frac{-4b}{-4} = \frac{-16}{-4}[/tex]
[tex]\boxed {b = 4}[/tex]
So. therefore, the value of [tex]b[/tex] is [tex]4[/tex].
3.6(-2y)(-5) simplify the equation
Answer: 36y
---------------------------------------------------------------------------------------
Answer:
36y
Step-by-step explanation:
6x-4=-22
what's is the value of x
Answer:
-3
Step-by-step explanation:
6x - 4 = -22 6x = -18 x = -3
Answer:
x=-3
Step-by-step explanation:
WILL MARK YOU BRAINLIEST HURRY!
Answer:
35 they are alternate interior angles.
Step-by-step explanation:
Angle is alternate interior with angle 2 so it would be same measure in most cases. They are congruent so it would be the same measure equaling 35 degrees.
solve 0=12x^2+16x+5 by factoring
Answer: X= -1/2, X= -5/6
Step-by-step explanation:
0=12x^2+16x+5
Move all terms to the left:
0-(12x^2+16x+5)=0
Add all the numbers together, and all the variables
-(12x^2+16x+5)=0
Get rid of parenthesis
-12x^2-16x-5=0
a = -12; b = -16; c = -5;
Δ = b2-4ac
Δ = -162-4·(-12)·(-5)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
Use following formulas to calculate:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=16−−√=4
-> x1=−b−Δ√2a=−(−16)−42∗−12=12−24=−1/2
-> x2=−b+Δ√2a=−(−16)+42∗−12=20−24=−5/6
what is 10.22-3.651 will some one help me plz
HELP!!! I don’t understand the numbering so just help
Answer:
i think this the is the answer buddy.
goog luck
Tessa’s family took a 3-hour-and-51-minute trip on a boat. They left at 10:30 a.m. What time did Tessa’s family arrive?
Answer:
they arrived at 2:21 pm
Step-by-step explanation:
Answer:
it's 2:21
Step-by-step explanation:
I talked a test it said it was right
Identify the slopes between the given points
1.) (3, 2) and (-1, 14)
2.) (7, 5) and (-8, 3)
Answer:
slopes points=4576789y5qscm
Find the domain for the following function:
f(x)= (x+12)/(x^2-49)
Answer:
Step-by-step explanation:
x<-7 or -7<x<7 or x>7
(-infinity, -7) U (-7,7) U (7, infinity)
Can somebody give me an answer to this it would be really helpful thanks!
Answer:
.625 for decimal, and 62.5 percent.
Step-by-step explanation:
1/8 is 1.25 and that times 5 is .625. .625 * 100 = 62.5
Please give me brainliest
Answer:
The decimal is 0.625
The percent is 62.5%
Step-by-step explanation:
work out (3 × 10^4) ÷ (6 × 10^-3) in standard form
Answer:
5x10^6
Step-by-step explanation:
30000/0.006=5000000
5000000=5x10 to the power of 6
5x10^6
Find the measure of angle ∠CAT in the picture below. *
Answer:
uhh
Step-by-step explanation:
theres no picture man
10. In APQR, right-angled at Q, PR+QR = 25 cm and PQ = 5 cm. Determine the values of
sin P, cos P and tan P.
b. Convert yards to feet.
3.2 yards
3
yard)
lxd
x
feet)
feet
Answer:
9.6 feet
Step-by-step explanation:
Traffic lights at three different junctions show green light at intervals of 10 seconds, 12 seconds and 15 seconds. They all show green at 1:00 p.m. At what time will they show again green together?
Answer:
it will show afain at 19 seconds
Help me fast pleasee
Answer: it's B
step by step explanation: hope this helps
Factor
25x^3+5x^2-15x-3
With a step by step explanation
What is the probability of drawing a yellow marble out of a bag twice in a row if there are eight other marbles in the bag, making it a total of ten marbles? You would put the marble back into the bag after the first draw and before the second one
Okay guys pls help like I'm desparate!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A theater has 500 seats. Three fourths of the seats are filled. How many seats are filled?
Answer:
Three fourths of the theater that is 500 seats is 375 seats.
Your answer is 375 seats.
Step-by-step explanation:
Okay, so to find 3/4 of 500 the first thing you want to do is set up an equation. To find 3/4 of 500 you want to multiply 500 by 3/4 so here's your equation.
x= 500*3/4
An equivalent to this is this equation,
x=500/1 *3/4
To solve this multiply the numerators together then the denominators together.
That would give you,
x=1500/4
Simplify by dividing 1500 by 4 and you get 375.
x=375
So that means that three fourths of the theater that is 500 seats is 375 seats.
In the theater, 500 seats fill 3/4, or 375 seats. An algebraic expression is an expression made up of integer constants, variables, and algebraic operations.
What exactly are algebraic expressions?Integer constants, variables, and the basic arithmetic operations of addition, subtraction, multiplication, and division are used to construct algebraic expressions.An algebraic expression would be 5x + 6. x is a variable in this case, whereas 5 and 6 are fixed values. An algebraic expression is a mathematical expression made up of variables, constants, and algebraic operations (addition, subtraction, etc.).A mathematical phrase that includes variables, constants, coefficients, and algebraic operations is known as an algebraic expression. 5x2+6xyc, for example, is an algebraic expression. Algebraic expressions, unlike algebraic equations, do not have equal signs.Given,
500 must be multiplied by 3/4 in order to find 3/4 of 500.
x = 500 × 3/4
This can be compared to this equation
x = 500/1 × 3/4
To find the solution, multiply the numerators and denominators together.
After that, you'd have
x = 1500/4.
By multiplying 1500 by 4, you can get 375 by simplifying.
x = 375
Hence, In other words, 375 seats, or roughly one-quarter of the theater's 500 seats, are available.
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URGENT
Please answer the question from the picture above!!
Answer:
they did the horizontal line test.
Step-by-step explanation:
the vertical line test is to see whether or not a graph is a function. you can draw a vertical line at every x-value to see if there are 2 or more points at that x-value. if there are, then it is not a function. however, this student drew a horizontal line instead. this graph is a function, so the student is incorrect. they did the horizontal line test instead of the vertical line test.
THE DISTANCE BETWEEN LONDON AND CARDIFF IS 150 MILES WHAT IS THE DISTANCE IN KILOMETER
