Q: The matrix -1 1 07 A = -9 6 1 has three distinct real eigenvalues if and only if < k < ||
A:
Q: Which of the following statements is false? O A. Elementary row operations do not change the column…
A: Row operations do not change the row space. Column operations do not change the column…
Q: _2. With the sun, a girl 1.4 m tall casts a 3.6 m shadow. Find the angle of elevation from the tip…
A: 5) We know that, tanθ=heightbasetanθ=height of girlshadow of…
Q: Зх —1 A B (b) (i) Express (1– x)(2 - 3x) in the form - x 2-3x , where A and B are integers. Зх— 1…
A:
Q: Let W = (1+ ax + bx² E P a, bE R} with the standard operations in P. Which of the following…
A:
Q: Use the model found above to answer this question. In what year will the estimated revenue of Amazon…
A:
Q: Find and simplify the expression if f(x) = x - 6. f(2) + f(h) f(2) + f(h) = (Simplify your answer.)
A:
Q: MC/NR portion) A student gently kicks their math book off of a cliff. The rate at which it falls can…
A:
Q: ). Sarah went to a store, spent half of her money, and then spent $10 more. She went to a second…
A: let sarah has total money=x first store spent money=x2+10 remaning =x-(x2+10) remaning=x2-10
Q: Use the following graph of a function f to determine y to the nearest integer for y = f(4). A f(x)…
A:
Q: A ticket to the school dance is $8 and usually 400 students attend. The dance committee knows that…
A: Given: Let x = no.of $0.25 decrease Let x = no.of 25 people increase…
Q: Three angles of a triangle always add up to 180 degrees. What are the three angles of a triangle…
A: Given, Angle 1= 72° Let the third angle be x. Angle 3=x Given that the second angle is 3 times the…
Q: 1. The production department will produce 200 boxes of healthy food which requires 90 kg of raw…
A: We need to solve linear system problem.
Q: For numbers 11-15 Given the function f(x) = cos(5x), 0<x< 2n 11. Determine the first derivative.
A:
Q: -1 -1] [2 Let k be a real number and A = |k 1 -2 %3D 7. 1 Then A is a singular matrix if O k=15/2 O…
A: Given: A=2-1-1k1-2071 As we know from the property of the matrix; For the singular matrix, the…
Q: loan of $12,000 is made at 6% interest, compounded annually. After how many years will the amount…
A:
Q: What is the graph of the system y-2x + 3 and 2x + 4y = -8? a-1.
A:
Q: 24 \n A 4 B 12
A:
Q: Let A be a 3 x 3 matrix with determinant equal to 2. 4 -8 If the adjoint of A is equal to 12 -4 8…
A: Given det(A)=2andadj(A)=4-8012-4880-4We know that…
Q: Q3. (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x2.
A:
Q: f(3)= -2x^2+x-5
A: Solution
Q: All changes saved 1. You can use the recursion n and the process of iteration to estimate the value…
A:
Q: [3 Let k be a real number and A -1 -1] = Ik -2 7 1 Then A is a singular matrix if k=10 O k=5 O…
A: Given :A=3-1-1k1-2071
Q: 5+ 26.) In (5- x) – In (5 + x) = -In 9
A:
Q: The function f(t) = 960(0.98) 30 represents the change in a quantity over t months. What does the…
A:
Q: Let m be a real number and M = If M is a linearly dependent set of M22 then O m=1 O m=6 O None of…
A:
Q: Solve the inequality. 3x–9 < 3 Enter the exact answer in interval notation. To enter , type…
A: This question is related to inequality, we will solve it using given information.
Q: 4. Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find…
A:
Q: 3. The figure below shows twelve toothpicks arranged to form three squares. How can you form five…
A: We need to show how to make 5 squares.
Q: Let W = {(0, x, y, z): x - 6y + 9z = 0} be a subspace of R. Then a basis for W is: %3D
A:
Q: | Use Gauss Divergence theorem to calculate (5zi+ 4yj - 2: k).n dA over the sphere +y+ 9.
A: Here, let F=5x,4y,-2z⇒div F=∂(5x)∂x+∂(4y)∂y+∂(-2z)∂z=5+4-2=7
Q: -1 -17 Let k be a real number and A = |k -2 %3D 7 1 Then A is a singular matrix if O k=5 O k=15/2 O…
A: As we know that; The matrix is said to be a singular matrix if the determinant of the matrix is zero…
Q: An 18 inch submarine sandwich is cut into two unequal pieces. The longer piece is 3 inches shorter…
A: we have to find the longer piece
Q: Maria invested php 175,000 in a savings account that pays 0.3% simple interest annually. Assuming…
A:
Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) = x in Quadrant I
A:
Q: 7. Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the same…
A: lets total work is assume 45 carlos complete work in 5 hour it means carlos do 9 work in 1 hour…
Q: 3. Insert four geometric means between 4 and 972. 4. Insert three geometric means between 2 and 162.
A: Let t1=4 and t6=972t2,t3,t4,t5 will be the new geometric means We know the general form is…
Q: 2. In a certain university 2,191 students are enrolled in its College of Arts and Sciences. 980 are…
A: Vein Diagram is given below
Q: given the vectors from R, (-5 0 3) belongs to span{v,, V2, V3}. Select one: O True O False
A:
Q: Find the missing length indicated. 3) 2
A: A detailed solution is given below .
Q: Harmonic Sequence Solve the following harmonic sequences. 3. Find the eighth term of the harmonic…
A:
Q: Create a function, and use these guidelines: the domain is not a set of numbers the range would be…
A:
Q: 1. Peter is inflating a spherical balloon at a rate of 4.5 cubic feet per minute. Find the rate of…
A: To find the rate of change of radius.
Q: Graph the system of linear equations. 4x - 5y = 15 3x + y = 16 Fill up -4 No Solution O Help…
A: Here is the solution:
Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…
A:
Q: Find the next term of the following sequence. 6. 2, 6, 10, 14, ..
A: Since you have asked multiple questions in a single request we would be answering only the first…
Q: Find the domain of the function using interval notation. f(x) = -2x (1- 1) (r – 7) To enter oo, type…
A:
Q: Let A and B be two matrices of size 4 x 4 such that det(A) = 3. %3D If B is a singular matrix then…
A:
Q: If price P is bigger than AVC, the decision for the firm is to continue production even at a loss. O…
A:
Q: Let W = :a +5c = 0} be a subspace of M22. %3D Then dimension of W is equal to: None of the mentioned…
A:
Step by step
Solved in 2 steps with 2 images
- [Type here] 23. Let be a Boolean ring with unity. Prove that every element ofexceptandis a zero divisor. [Type here]19. Find a specific example of two elements and in a ring such that and .Suppose that a,b, and c are elements of a ring R such that ab=ac. Prove that is a has a multiplicative inverse, then b=c.
- Let R be a commutative ring with unity whose only ideals are {0} and R Prove that R is a field.(Hint: See Exercise 30.)44. Consider the set of all matrices of the form, where and are real numbers, with the same rules for addition and multiplication as in. a. Show that is a ring that does not have a unity. b. Show that is not a commutative ring.Consider the set S={ [ 0 ],[ 2 ],[ 4 ],[ 6 ],[ 8 ],[ 10 ],[ 12 ],[ 14 ],[ 16 ] }18. Using addition and multiplication as defined in 18, consider the following questions. Is S a ring? If not, give a reason. Is S a commutative ring with unity? If a unity exists, compare the unity in S with the unity in 18. Is S a subring of 18? If not, give a reason. Does S have zero divisors? Which elements of S have multiplicative inverses?
- An element in a ring is idempotent if . Prove that a division ring must contain exactly two idempotent e elements.Let I be an ideal in a ring R with unity. Prove that if I contains an element a that has a multiplicative inverse, then I=R.11. a. Give an example of a ring of characteristic 4, and elements in such that b. Give an example of a noncommutative ring with characteristic 4, and elements in such that .
- Assume R is a ring with unity e. Prove Theorem 5.8: If aR has a multiplicative inverse, the multiplicative inverse of a is unique.a. If R is a commutative ring with unity, show that the characteristic of R[ x ] is the same as the characteristic of R. b. State the characteristic of Zn[ x ]. c. State the characteristic of Z[ x ].24. If is a commutative ring and is a fixed element of prove that the setis an ideal of . (The set is called the annihilator of in the ring .)