Find P and D such that P is invertible, D is diagonal and D= P'AP, for 2 -2 3 0 3 -2 0 -1 A=

Q: 1. Let A= B = and C = 4 0 05-2 -6 5 -2 2 and 3 =. Compute the following (a) A+B (b) B' +C (e) C (d)…

A: Introduction: When we change the rows of a matrix into columns and columns into rows, as a result,…

Q: Let A= 00 b) Say if A is diagonalisable sur Cv H E M3x3(C) such that H-¹AH is diagonal.

A:

Q: Find two linearly independent solutions of 2r2y"- xy' + (-4x + 1)y = 0, x > 0 of the form Y1 = r (1+…

A: Given fill in the blanks have already some data, it is wrong as per given question. I solved it, and…

Q: 1. The vector X = k is a solution of x - (: -)x-G) 8, X' 2 for k = Enter only the value of k.

A:

Q: give the general formula of this amount b.) choose those polynomials that contain elements of the

A:

Q: 5. Find two linearly independent polynomials orthogonal to p(x) = 1 + x² using the inner product…

A: Given two polynomials:-

Q: 4メーY - 3z = -8 -x+3y - 2z =5 2x + 2y -5z =7 ニ

A:

Q: Show that 8(x) E Q, which will h.q.h-¹ EhQh-¹ is also an element of Q. Hence 8(x) E Q so that x E P.…

A:

Q: O 2 0 [o 0 1 0 0 -1| B = |1 0 0 1 0 | 0 1 1 a) Write down AT and BT. b) Calculate AT BT. ||

A:

Q: of the form y₁ = (1+₁2+ a₂x² + 3x³ + ...) 32 = x2(1+b₁x + b₂x² + b₂x³ + ...) where T₁ > T2- Enter…

A:

Q: a2u a2u 2y дхду a²u )Find du where ax - - axây' ay? u = x3 - 2x2 + 2y3 – 6xy + y ax2

A:

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: 2x+ 3y-z =1 4x + y-3z = 11 3x-2y +5z = 21 | %3D

A: Solution:

Q: əz əz 1. Let z = x² + y³, x = 2st and y = s − t². Compute for and əx Ət

A:

Q: (5). If A, B and A+B are each non-singular and the products are conformable, prove that (a). A(A +…

A:

Q: 12) Solve by using Cramer's rule: 2X+6 Z=3 3X+Y+Z=2 2Y+4Z=-3

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: Q2/ Use the Gaussian elimination method to find v, v2, and vs of 2v, - vz + 30, = 5 -4v, - 3vz - 2v,…

A:

Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

A:

Q: b) Use xo = 1, X₁ = 1.5, x₂ = 2 to find the second interpolating polynomial to 3 f(x) = 2x+1

A:

Q: Let A= 3 (n) Compute det (A) using a cofactor expansion along row 2. (b) Find A adj(A). (c) Find det…

A: Result: If determinant of matrix is a than determinant of  inverse of matrix is 1a. Transpose of…

Q: 2x+ 3y-z =1 4x + y-3z = 11 3x- 2y +5z =21

A:

Q: -1 1 0 B 2 4 4 0 3 2 1 1. Let A= and C Let a =4 05 -2 -2 -6 5 -2 2 and 3 = Compute the following

A:

Q: 10. Subtract 2- V- 64x²y* from – 3– xy-9y' and express the result in a + bi form

A: Answer and explanation is given below

Q: Consider, 21u = 2x – 3y and 21v = -–x+y Find the value of the Jacobian a (x, y) a (u, v)

A: 21 u = 2x - 3y, 21 v = -x + y

Q: Suppose a, = (1 -1 1 1) 5. a, = (1 0 1 0)" a, = (1 1 1 1)'a, = (3 2 3 0)" · Please find out whether…

A:

Q: If e* and xex are solutions of y"tay'tby=- Are soluhons linearly independent? write the soluhion.…

A: Given that e−x and xe−x are the solutions of y''+ay'+by=0. We have to check whether the e−x and xe−x…

Q: Let the function ƒ : {1,2, 3,4, 5} {1,2,3, 4, 5} given by the following table. 1 2 3 4 5 f(x) | 4 1…

A:

Q: 2. Let AX = B with 2 1 1 3 ^= [₁ ²²² =²×²0 EJ A: 0 -3 -2 B X y ) 2 1 use the fact that 1 A-¹ = 2 -3…

A: We have to find the value of variable and verify them the result

Q: 2.) Find a general set of solution vectors of x'1=-5x2 x'2=x1+3x2

A: To find the general solution of a system of linear differential equations, follow these steps: 1.…

Q: Suppose A is not diagonalizable. If the characteristic equation of A is: -λ +2^² - 2³ = 0 then dim…

A: Given :-  A is not diagonalizable. And Characterstics equation.  Topic :- Matrix.

Q: Cramer's Rule iF poccible : 3x + 2y + 2 z a. y + 2z = -1 2x + 2y +

A:

Q: 2 4 4 0 -2 2 3 2 1 -1 1 0 05 -2 1. Let A= and C = Let a = 4 -2 -6 5 and 3 =. Compute the following:…

A:

Q: Σα-3αβγ= (Σα) (Σα?- Σαβ) |

A:

Q: Reduce to Canonical form UTr +5 Ury +6 Uyy %3D

A:

Q: What are the roots of the characteristic equation of the following system? da dy 3x +2y-z dt dz 2x +…

A: