1 4. - 16 and H= Span/v, v2,V3. It can be verified that 7v, +5v, - 3v = 0. Use this information to find a basis for H. Let v = - 9 V2 = 3 V3 -8 A basis for H is (Type an integer or decimal for each matrix element. Use a comma to separate vectors as needed.)

Q: A continuous 5-year annuity pays at the rate of e-0.01t-+0.5t dollars per annum at time t (0 <t < 5)...

A: Present Value of annuity=integrate annuity function*e^(-integrate force of interest from 0 to t) fro...

Q: Directions: Write your solution and answer on the space provided for. II. If z = 3 + j4 and w = 2- j...

A: Answer 

Q: Q2. The charge of the condenser Q(t) = S,1(t)dt is the rate of change of the current I. In %3D other...

A:

Q: The ratio 6: 11 is equivalent to: a. 25: 55 b. 18: 33 c. 18: 66 d. 12: 11

A: Equivalent fractions are the fractions that have different numerator and denominator but are equal t...

Q: For values of 9, 6 70 to llowing integod is which Convergent? 2* (1+ x)

A:

Q: * Solve for x x - 2 0. x +4 Solution =(-4,2) O Solution =(-4,2] O Solution =[-4,2]O Find the domain ...

A: 1)   (-4, 2) 

Q: Calculate the rate of markup on selling price if the cost of the product is RO 78 and the markup is ...

A: This is a simple profit loss question. Visit part 2 for detailed solution.

Q: You have 7 Rolls Royces and 5 Lamborginis in your (rather large) garage. Every morn- ing, because va...

A: As we are given with the number of cars and we have to choose a particular type of car for a number ...

Q: Define a sequence (Sn)n inductively by letting S1 = 1, and Sn+1 = Sn + 1. 1+V5 Prove that lim S, = 2...

A:

Q: Find a vector function which describes the intersection of the two surfaces given. Use Geogebra3d to...

A:

Q: Solve the differential equation using Laplace transfom: y" - y' + 2y = t, y(0) = -1, y'(0) = 2 Where...

A: Answer 

Q: Q/ z = x + f(a) and a = ry. Show that: 尝-端=

A: We use the definition of partial derivatives to prove the given result.

Q: Which one of the following is an improper fraction? a. 3/15 b. 7/3 c. 1/2 d. 3/7

A: An improper fraction is a fraction in which the numerator is greater than or equal to the denominato...

Q: Directions: Write your solution and answer on the space provided for. III Convert the given complex ...

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for ...

Q: Prove that Vtan a de – 7//2.

A:

Q: Answer the following question and show your Complete Solution. Which numbers in the set {0, π/6, π/4...

A: Note: Here we are solving a), b) and c) for the reaming problem please Submit problem again. Given: ...

Q: (a) Evaluate the integral | 16х -dx by using substitution. 8x +2 (b) Evaluate the integral using by ...

A:

Q: Below is the graph of f(x). For each of the given point determine the value of f(a) and lim f (x). I...

A: The graph of the function is given as , To determine the value of f(a) and limx→afx for the values ...

Q: 10.1.15 Please help me answer this calculus question.

A:

Q: Let T be a bounded operator on a Banach space X and let Q e an isomorphism on X. Show that eTQ= Q€TQ...

A:

Q: You are visiting a farm and observe that there are 10 cows. Two cows have five spots, three cows hav...

A: Total number of cows is 10. The data of number of cows with their number of spots is, Number  of ...

Q: How many times can you subtract 10 from 100? And how do you make the number 7 an even number withou...

A: 100 is 10 times of 10 so It can be subtracted 10 times from the 100 So 10 Can be subtracted 10 times...

Q: FA Let X-(1,10,14} and F-0.x,(1), (10), (1,10} be a topology on x. Given that 4= (10,14, compute the...

A: The given set is: X=1, 10, 14 τ is the topology on X, defined as follows: τ=∅, X, 1, 10, 1, 10 The s...

Q: Linear Methods 9. Use the rank-nullity theorem to answer of the following questions (and to justify ...

A: See the attachment

Q: A non- emptysubset H = {0,2,4} of a group (Z6,+6) show that H is a subgroup %3D Solution 1- H # Ø, H...

A: Given a non-empty subset H=0,2,4 of a group Z6,+6. We have to show that H is a subgroup Z6,+6. Eleme...

Q: Solve a high-order differential equation

A: Handwriting solution

Q: Problem 3 Apply two cycles of the Aitken-Steffensen method for approximating the ixed-point of f(x) ...

A:

Q: Q1) Lind dy/dx of O xe 1o x +3y =D0 O X 2 2sinx cosy=1 9 x = sec!

A: We are supposed to answer only first question with all of its parts as per the guidelines of Bartleb...

Q: choice the correct answer

A:

Q: BETA FUNCTION Evaluate (a) B(3. 5). (b) B(3/2.2), (c) B(1/3. 2{3). Ans. (u) 1/105. (b) 4/15

A:

Q: Find the general solution.

A:

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0)=1...

A: The given differential equation is 2y"+y'-y = x+5 with the initial condition y0=1, y'0=0 To solve th...

Q: Use on to provề thất + n) is divisible by or all n 2 0.

A: We will prove the basic step. &amp;, Then to proceed with the inductive step, we will assume the sam...

Q: Linear Methods

A:

Q: 5

A: Given that  The matrix

Q: Evaluate the following iterated integral. 42 SSxsiny dy dx 30 x sin y dy dx = Simplify your answer.)...

A:

Q: Write the rational expression in simplest form. + 4x - 12 x2 + 7x + 6

A:

Q: Using the digits 2 through 9, find the number of different 6-digit numbers such that: Digits cannot ...

A: We'll answer the first question since the exact one hasn't specified. Please re-submit the question ...

Q: what is the product of the complex number 3-4 and 8e53.13i

A: First convert 3-4i to magnitude and angle form then multiply to 2nd one. We get finally 40. 

Q: dx D3. Evaluate (x²+9)(x²+4)

A: Integration

Q: Write the rational expression in simplest form. x2 - 81 x3 + x 2 - 81x - 81

A: Given that  Expression  (x^2-81)/(x^3+x^2-81x-81) To simplify the expression 

Q: 2. Construct a basis for T2,2(R²) and prove that it is a basis.

A: To find the basis of I2×2ℝ2. The set of all 2×2 matrices over ℝ. Let us claim that β=1000,0100,0010,...

Q: I Evaluate the following complex numbers in rectangular form and show in the Angrand Diagram a) (3 +...

A:

Q: Using the appropriate approached covered in Unit 6 of this course along with knowledge gained in Uni...

A: Simple question from the concept of limit. Kindly go through step 2 for detailed solution.

Q: Use Euler's method to approximate y(1.0). Start with step size h= 0.1, and then use successively sma...

A: Given: y'=x2+y2-2, y0=0, h=0.1 By Euler's method, yn+1=yn+hfxn,yn where fx,y=x2+y2

Q: Find the Taylor series expansion for the given function: f (x) = In(1 – 2x) centered at x = -0 ANS: ...

A: The Taylor series is defined as fx=fa+f'a1!x-a+f''a2!x-a2+… So writing the taylor series for functio...

Q: TA Let X- (1,10,14) and - 0,x,(1), (10). [1,10}} be a topology on x. Given that 4= (10,14, compute t...

A: Let X=1, 10, 14 and T=φ, X, {1}, {10}, {1,10} the topology on X. Given A=10,14 Subspace topology of ...

Q: This question.

A:

Q: 1-cos (x-n) lim xn (x-)sin (x-n)

A: It is a simple question based on the basic limit concept of 0/0 form, and to be solved by L-Hospital...

Q: Azlita bought a refrigerator with marked down 14% during a clearance sale. The selling price is 500....

A: Given: Selling price=RM500 Mark down=14%    

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.