Problem 5. Show that there are no 2x2 matrices A and B such that AB- BA=

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Q: a. Which of the following subspaces of U are invariant under D? (i). , (ii). , (iii). , (iv). .

A: Given that a subspace U = cosx, sinx, x, 1 The linear map D : U →U defined as  D f x =f'x   Invarian...

Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER EXAMPLE 4 Find the volume of the solid that lies under th...

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Q: 1. Show there exists an integer n such that n² + 3n/2 = 1. Is the integer unique? Explain your answe...

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Q: Answer T if the argument below is valid; F if it is invalid. No vegetarians eat meat. All vegans are...

A: The validity of an argument can be checked using the rules of inference. There are many rules of inf...

Q: If gcd(a,20) = 1 then which of the following is true. (а) а20 %3D а (тod 20) (b) а13 %3D а (тod 20) ...

A: We have , gcd (a , 20) = 1 We know that ,  Fermat's little theorem, If  P does not divide a that is ...

Q: Solve for the differential equations. (2х — у + 2)dy + (x— 2у + 4)dx %3D 0

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Q: 7) The ODE for O looks very simple. We have boundary conditions that e must be 27 periodic in order ...

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Q: Does the associative property hold for the integers under the operation of division? Given an exampl...

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Q: A grain silo has the shape of a right circular cylinder topped by a cone. The approximate area of th...

A: Concept: First we shall find the volume of cylinder using formula, V=base area×h where h is the heig...

Q: 17. 1 + COS n n e n = 1

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Q: If A is 3x4 matrix and its rok is 2 then the nullity of matrix A will be be determined a) con つのt 61...

A: Let us consider the matrix A of order n x m  Then the Rank-Nullity theorem is  RankA+NullityA=m Rank...

Q: 2. Consider the four matrices, 1 2 1 2 3 C = 4 5 6 1 2 3 4 3 A = 5 6 3 4 5 6 78 9 Solve for: а. АВ (...

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Q: The lifetime of a printer costing $140 is exponentially distributed

A: Given, the lifetime of a printer costing $140 is expnentially distributed with mean 2.62 years. The ...

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up? ...

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Q: 10 Simplify (1+iv3)"

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Q: Let m and n be positive integers. Prove that mZe nZ is an ideal of Z e Z and that Z eZ S Zm O Zn. mZ...

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Q: Find the prime factorization of the number. 32,625 O A. 3°.52-29 O B. 3*- 29 Oc. 5-29 O D. 3?-5°- 29

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Q: Revision worksheet: Analytical geometry C-3) A(4; 5), B(a;b) and C(8;-3) are the vertices of AABC. P...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

Q: (1) :) Let o, T e S6 such that 1 2 3 O = 1 T = 45 6 2 3 4 5 6. and 6 4 3 5 1 2 3 16 5 T. (i) |r| (j)...

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Q: (c) f(x,u, v) = – log(uv - x" x) on dom f = {(x,u, v) | uv > x² x, u, v > 0}.

A: C. 

Q: In the ring ], let I = (x²_8) O Prove that the quo tient ring [a]/Ix not an integral domain.

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Q: If z=1+y , I= e' cos(s) and y=e' sin(s), then at (t, s) = (1,0) is as O-2e O 2e O 2e

A: if z=x2+y2 where x=et coss , y=et sins then find ∂z∂s at t,s=1,0

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or inc...

A: for all x1 , x2 in a,b when x1<x2 then fx1>fx2 claim- is it decreasing or increasing

Q: Find the area of the region bounded by   *IMAGE* and the x -axis using Right Riemann Sum with 8 eq...

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Q: 4 2 -7 B = 2 1 -2 -3 -5 6 ,

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Q: Find the inverse of T000 OD

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Q: Maximize p = x + y subject to X + 2y 2 20 2x + 2y 20 X > 0, y > 0.

A: To maximize p=x+y subject to following constraints x+2y≥202x+2y≤202x+y≥20x≥0y≥0

Q: Fill in the blank. The union of the rational numbers and the irrational numbers is the set of number...

A: We have to find what is the union of the rational numbers and irrational numbers

Q: 3.19 Nonnegative weighted sums and integrals. (a) Show that f(x) = D_, a;x12 is a convex function of...

A: Find the attachment for the solution.

Q: To 0 28) 0 0 0 Lo o 0 29) 2 o 8/17 0 -15/17 1 30) 1 0 15/17 0 8/17

A: To check if a given matrix is orthogonal, first find the transpose of that matrix. Then, multiply th...

Q: Let U be the subspace of R' spanned by {u1, u2, u3}, where иј 3 (1,1, 1, 1), из — (1,—1, 2, 2), из —...

A: Use the Gram-Schmidt algorithm.

Q: if a family iP; Sierof sominorms on avectorspace X separates distinct points of x , show that the re...

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Q: Find an interval where the IVP dy (In t) + y = cot t dt y(2) = 3 has a unique solution.

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Q: 0 > 0 soɔ 19. ta 0 = -3, sin 0 0> 2 3 13. cos 0 =

A: Part (13):-  Given that cosθ = - 63,     π2<θ<π  

Q: Q5. (a) Use Laplace and Inverse Laplace transform to solve the following DE: y" +2y' +5y=5sint, y(0)...

A: Some properties of Laplace transform L-1as2+a2=sinat L-1ss2+a2=cosat Lsinat=as2+a2 L-11(s+a)n+1=eat...

Q: How to determine if a graph is euler or not

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Q: Determine whether or not the first number is divisible by the second number 249,576; 3 Yes No

A: given number 249,576 to show it is divisible by 3

Q: Question 2 (-1)"n For positive integer n, let a, = 3n (a) Determine whether the sequence {a,} is con...

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Q: Let A := {1,2, 3, 4} := B. (a) What is the cartesian product of A and B. (b) Find S := {(a, b)[; € Z...

A: Given A=1, 2, 3, 4B=1, 2, 3, 4 (a) We have to find the cartesian product of A and B.

Q: 2) Prove the following identities: (a) A\B = A\(A O B); (b) A o (B\C) = (A O B)\CA Q C) = (A O B)\C.

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Q: grating factor o

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Q: The table below² shows the median monthly rent (in January) for a one-bedroom apartment in the Hyde ...

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Q: Proposition 6.1.21. A number is divisible by 11 if and only if the alternat- ing sums of the digits ...

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Q: (-1)"n For positive integer n, let a, = 3n (a) Determine whether the sequence {an} is convergent. (b...

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Q: The length of ABC is ft. Use 3.14 for pi. Enter the exact answer your calculator gives. Don't round....

A: Let us consider the circle of radius R. then the circumference of the circle   Circumference of circ...

Q: State the name of the property illustrated. (9 + 8) + 4 = (8 + 9) + 4 O A. Commutative property O B....

A: We need to state the name of the property illustrated.          (9+8)+4=(8+9)+4