If A and B are orthogonal, is A+B also orthogonal?  Can you demonstrate Algebraically using A + B = (A + B)^T etc...?

Q: (m) For ro = -8, 11 = -7, 12 = -6, 13 = -5, I4 = -4, f(z1)Ar,

A: Given

Q: Suppose that y= 2(1- e *). Compute y' and show that y' =2-y. y' =] 2-y%3D Does y' = 2-y? O Yes O No

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Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: Show that the CAPM Bi is linearly additive. Present all your calculations analytically and explain…

A: Given Solution:

Q: Derive the equations of the natural cubic interpolating spline for the following table -1 1 fx) 1 2…

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Q: art of z- 2z, if z = a+ib ?

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Q: Explain how the Pythagorean Theorem can be used in the real world. Who might use it on a regular…

A: topic- Pythagorean theorem

Q: Show that Y1 = X1/X2 and Y2 = X1 + X2 are independent and that Y2 isχ2(r1 + r2).

A: Given Y1=X1X2Y2=X1+X2

Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: =2x, 0Sx<2 is

A: f(x)=2x, 0≤x≤2

Q: Show A-B graphically and calculate A-B algebraically?

A: The difference of u→-v→ as a sum u→ + (-v→).                                u→ = -5,2  v→ = 6,-5…

Q: Determine whether the statement is true or false. fxy дх ду True O False

A: We have to determine given condition it is true or false

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Prove that there exists at least one solution to the equation 4x+ 3x +1 = 4x2.

A:

Q: Show that the equation (1, 2, 3) × v = (−1, 2, a) has no solutionfor a = −1

A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

Q: Why does the ST-term in the T'-equation have a negative sign, while the ST term in the S'- equation…

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Q: If z1 = -4 + j5, z2 = -3- j2, and z3 = 2 + j3, %3D %3D %3D

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Q: Give a counterexample to show that (AB)-1 =/ A-1B-1 in general.

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Q: what is linear algebra

A: detailed solution is given below

Q: Use a model for body surface area, BSA, such that  BSA =    wh 3600,  where  w = weight in kg…

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Q: Show that Live - de = In(V5- 2). -1 Vx2 + 2x +2

A: We need to show that, ∫-11-dxx2+2x+2=ln5-2

Q: If g(x) = f(r²), then g(-3) =

A: We find g'(x) using the chain rule

Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: 13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Solve the equation Ax = b by using the LU factorization given for A. 1 2 3 1 0 0|| 1 2 3 0 11 0 2 0…

A: The given matrix equation can be written as:  LUx=B OR…

Q: Consider a LU factorization of -2 1 3 A = 1 4 -2 -5 as A=LU. Then L2,1 and U1,1 are respectively…

A:

Q: Compute ƒx and ƒy for ƒ(x, y) = 2xy.

A: the given function is: fx,y=2xy we have to find the value of fx and fy

Q: х, — Зх, — 2х, %3D0 3x2 2x3 = 0 —х, + 2х, + х, 3D 0 X3 = 2х, + 4x, + 6х, = 0

A: Here we will solve the given equations by Gauss-Jordan elimination,

Q: What must be true of the discriminant a

A: Given, the general second-degree equation is…

Q: Show that if A? = I, then |A| = ±1

A:

Q: Sabject IL: 014.0)-o BC: 010t)-0(4),t>0 to %3D

A:

Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: find a quadratic polynomials whose zeores are  (i) 3,4 (ii) 2,1

A: So here we are going to use the formula for quadratic equation when zeroes are given. So I'm…

Q: В Calculate A and B so that + %D 1+x 1-

A:

Q: Use separation of variables to find a product solution to the following

A: Using separation of variable we have to find a product solution of the following differential…

Q: 2. Show that (2x + i)(2x– i) = 4x +1 %3D |

A: Prove the equation

Q: If mQT = (27x + 3)', mRT = (9x - 5)° and MZRST = (10x – 2)', find mRT. %3D %3D

A:

Q: Show that: If Iz| = 1, then: %3D z3 + 4z? – 4| Im < 3 z + 4

A: Since |z|=1 Let z=r(cos∅+isin∅) ⇒|r(cos∅+isin∅)|=1 ⇒r=1 Now

Q: 19. (x, 4x), (-2x, 3x), given that x < 0 -XV10 (since x< 0, Vx2 = -x) %3D 20. (x, 4x), (-2x. 3x),…

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Q: Prove Equationally that A, B H A = B.

A: Given:                       A, B ⊢ A≡B To do: Prove the given statement equationally.

Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 3 - j2 , what is the simplified form of %3D (금) Z1 - Z3 16…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: 1 -2 A = |1 2 li 1 [2 1 1 3

A: Given A=21-2121113

Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: Find дхду of z = In(x² – y)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: If |zı| = 1, |z2| = 2, |z3| = 3 and [9zīz2 + 4z]Z3 + Z2Z3| = 12, then the value of |zı + Z2 + Z3] is…

A:

Q: find the Doman (De) and The funcdia y= 2-

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Q: What is the zero-product principle?

A: Zero product principle states that if ab=0  then a=0 or b=0 We apply zero product principle while…

Q: Find a,b,c (if possible) so that 2x^3-9x^2+8x-2=(2x-1)(ax^2+bx+c)

A: The given equation is,

Q: Solve the equation forX, given that

A: To show that the given matrix B commutes with the other two matrices, B=abcd commutes with 1000  and…