b. Let T be a linear transformation induced by the matrix A = and S a linear transfor- mation induced by B = 3 Find matrix of SoT and find (S o T)(x) for x = -2

Q: Which type of triangle has three sides that are the same length? O A. Equilateral о в. Isosceles о с...

A: To find- Which type of triangle has three sides that are the same length? Equilateral Isosceles Sca...

Q: a. Show that the trace of an operator is basis independent, i.e Tr(C) = E = E %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Glven 2 state the con cauity and verify by analy 2ing the signs of the Eリ1] = 3-2.e secand denivativ...

A:

Q: Evaluate: 6!

A: We have to find 6!

Q: Evaluate the integral of the two-form w = (x8 + 2y) dx A dy over the region D bounded by the curves ...

A:

Q: Let F be a field and let V, be the F-vector space of polynomials in F[x] of degree < n. Which of the...

A: Let V and W be vector spaces over a field F, we call a function T:V--&gt;W a linear transformation f...

Q: X -1

A:

Q: nd no two

A: 1. 8 letter words with 2 digits same. C4×8!2!2!2!2!=C4×7×6×5×4×3=26×25×24×23×7×3×52626

Q: In AOPQ, PQ = 19, QO = 11, and OP = 20. Which statement abc must be true?

A: consider the figure as follows the angle opposite to bigger side is greater   

Q: Give an example of a vector space V over a field F, and of a linear transformation T: V –V that is: ...

A: A transformation T:V→W is injective(one to one) if each element of V mapped on distinct element of W...

Q: Determine the volume of the three-dimensional figure. 12 m 17 m 12 m The volume of the three-dimensi...

A: The volume of a triangular prism is calculated by the formula  V=12bhl Where b, h and l represent th...

Q: Q3) The component of national economy is as follows: Y= 5000 C= 1800 T= 1400 C= 500+(1/2)(Y-T) |= 19...

A:

Q: Question 1 Calculate: 3four +2fonsr (Express your answer in base 4) O 13four O 11 four O 32 four Que...

A:

Q: Let a, b, x E Z be given. Show that: ax + 6 even (x odd Vb ev en )

A:

Q: ues of p will 3x(4x+3)=-p have non-real root

A: Given Equation 3x4x+3=-p The value of p is found such that the equation has a non-real root.    

Q: What is the approximate derivative of f(x) = x2e* , using backward-difference approach at %3D x-2 an...

A: The main objective is to calculate the value of the derivative of the function f(x)=x2ex at the poin...

Q: After two iterations using the Method of Successive Substitutions, what is the root of f(x)= 3x +x' ...

A:

Q: What is f(3)? f(x) = 3x²+9 x +1 f(3) = [? ]

A: Given the function fx=3x2+9x+1 We shall find f3 i.e., the value of the given function at x=3

Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5. ...

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in th...

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x) d...

A:

Q: Maximize f(x, y) = / 18 – x2 - y2, x + y – 2 = 0. %3D

A: We will use the Lagrange Multiplier to maximize f(x,y)=18-x2-y2.........(1)x+y-2=0    ........(2)

Q: b. 90,720 d. 386,434 5. In how many ways can the letters of the word "PROBLEMI be rearranged to make...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Find a basis for the mullspace of the following matrix: [1 0 - 1 -5 4 3 -2 1

A:

Q: The composite is composed of a cone and hemisphere. 89 ft 33 ft a) Find the surface area of the comp...

A: Formula used: Surface area of the cone is given by the formula: Scone=πrl Surface are of hemisphere ...

Q: The circumference of the inner circle is 44 feet. The distance between the inner circle and the oute...

A: The circumference of inner circle is 44 feet therefore calculate the radius if inner circle 2πr=442×...

Q: If the checker can only move diagonally, and must jump over X's, how many paths lead to the top? X X

A: If it has to jump over X then only one path is possible. 

Q: 1 dydx JE yª + 1 Evaluate the double integral by reversing the order of integration

A: Let us consider the double integration I=∫ab∫g(x)h(x)f(x,y)dydx On changing the order of integration...

Q: Theorem 12. Let f be a non-zero continuous function on R such that f(x+y)-f(x) f(y) ♥x, yER. Show th...

A:

Q: Problem no.4: Use Simpson rule' 1/3 Method with (n 10) to estimate the y-integration function below:...

A: Introduction: Simpson's 1/3 rule is a method of approximation for approximating an integration numer...

Q: (i) Find gcd(2,3+5i) in Z[i], (ii) Show that 3 + 4i and 4-3i are associates in Z[i] (iii) Determine ...

A: (i). 

Q: graph to do the following. (a) Find the soluti

A: In this question, the concept of inequality is applied. Inequality Equations in mathematics aren't u...

Q: Let F be a field and let V, be the F-vector space of polynomials in F[x] of degree <n. Which of the ...

A:

Q: 1. true or false. justify your answer. (a) Im(z) > 0, then Re(1/2) > 0. (b) Re(z12) = Re (z1) Re (2)

A: Solutions 

Q: SOLVE THE LINEAR SYSTEM 6AUSS JOeDAN USING METHOD *+ y +2 + w = 22 X- 9 +2 + w = 0 x -2 +w a *- w = ...

A:

Q: The accompanying figure shows a network of one-way streets with traffic flowing in the directions in...

A:

Q: Perform this subtraction: (- 25 9x? – 5x) - ( 9a + x? + 8) |

A:

Q: 2. Compute the Laplace transform of the function f(t) whose graph is given in the figures below. (a)...

A: We will use here formula for integration by parts 

Q: 100 x 99 × 98x...×10 can be written as 100 P91 O 100 P11 P90 100 P10 100

A:

Q: Minimi Suhiect 11

A:

Q: 5. Consider the function f(x) =x* – 4x³ . a) Determine the x and y-intercepts. b) Determine the coor...

A: As per our guidelines we are only supposed to answer the first three subparts of the question. Kindl...

Q: Evaluate the line integral f. (2x – 4xy)dx + 3xy – 2x³y)dy over the straight path L joining point P(...

A:

Q: C. Find the indicated measure. 1. P= %D 25 80 f. 6. Class Intervals 54-58 59-63 9. 64-68 17 69-73 18...

A: Grouped data Class Interval Frequency 54 - 58 6 59 - 63 9 64 - 68 17 69 - 73 18 74 - 78...

Q: What is the relative error in estimating the first derivative of f (z) = 25x - 6x2 + 7x- 88 at x-2, ...

A: Given equation is f(x) = 25x3 - 6x2 + 7x - 88∴ f′(x) = 75x2 - 12x + 7

Q: In a long-distance relay race of 50 miles, the four runners on one team had the following times: 1 h...

A:

Q: Mary obtains a loan for home renovations from a bank that charges simple interest at an annual rate ...

A:

Q: CAC)UCEIC)= CulBIA) %3D a) use a truth table the equality b) use set pro preties to prove the equali...

A:

Q: Find the general solution of the following PDE 3 Ux + 2 Uy = 0 for the initial condition U(x,0) = 4 ...

A:

Q: Now consider the following nonhomogeneous linear DE; y" + 16 y = 2 sin(2rwt) For what value(s) of w ...

A:

Q: (b) V = R³, W is the set of all (x1, x2, x3) such that 2r1 = -x2 + x3. (c) V = R³, W is the set of a...

A:

Q: 3. 0 en k%31

A: