Gven bases B= and B find the transition matrix Pe - 6 a. none of these Ob[ 0 2/3 -1/3 Oc[1 1/3 2 -1 Od[ 0 2 2/3 1 O e.[1/4 3/2 1/2 0

Q: Let A := 1 -2 4 -4-2 I co 3 2 -8-5 (a) Show that A is diagonalizable and find a nonsingular P such…

A: The given problem is to show the given matrix is diagonalizable and also calculate the value of…

Q: Q.7: Find A and X to diagonalize the following matrices B1 and B2: B, = 108 [0.6 0.91 !0.4 0.1) [0.6…

A: first we will diagonalize each matrix and then with the help of diagonal form we can calculate Bk

Q: Find the matrix [T]s.a for T:P2 M22 where B= {1,x,x?}, B'= a+b b =| and T(a+ bx+ cx) C 2c

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Q: (D4 – 1) y = e* -X

A: The given equation is D4-1y=e-x. The homogeneous part of equation (1) is: D4-1=0…

Q: Determine whether th e given consump-tion matrix is productive.

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Q: -1 -6 Let A = [9] 3 Find a matrix S, a diagonal matrix D and S-1 such that A = SDS-¹. (88-4188 1-188…

A: Ans-We are given Matrix A and we have to find a matrix S, a diagonal matrix D and S-1  .

Q: Let A; (j = 1,..., k) be matrices of size m, x nj. We introduce the notation o-1A, = (8A;) ® Ak = A1…

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Q: -2 Let A = 12 8 Find a matrix S, a diagonal matrix D and S-¹ such that A = SDS-¹ S = D = ||---||

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Q: 3. Let A [1.1 -0.1] [0.3 0.7 0.7] Is matrix A invertible? How do you know?

A: An invertible matric is a matrix  for which matrix inversion operation exists . A matrix is said to…

Q: Let P: R² → R² be defined by P = projspanuu, where u = Find the matrix associated to P. Enter your…

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Q: Given bases B' = and B= find the transition matrix PB' - B []-

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Q: 22 Q.4 Using the matrix: X = 2 4, Calculate: 2 6 M=(I₂ −X(X¹X) ¹X¹) and show that M is a symmetric…

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Q: 200 If P= 0 4 5 is the matrix associated with a linear map f:R³ R³ the eigen values of the matrix P…

A: Let's find eige value of matrix p.

Q: Which of the graphs below can be represented by the following adjacency matrix: 0 1 1 0 10 0 1 01 10…

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Q: HEL AEL HEL = -3 -1 -1 -4 1888 -5 -3 -2 3 -1

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Q: (ii) T F S is a diagonalizing matrix for A if and only if (S-¹)T is a diagonalizing matrix for AT.

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Q: Determine an elementary matrix E such that AE = B. E -8 7 1 A 20-5 1 1 -2 6 7 1 0 1 0 ↓ 1 B = 0 0 1…

A: An elementary matrix obtained from identity matrix apply the operations (1) swap the tw…

Q: 29. Find the adjacency matrix for the graph below. * (B

A: Adjacency Matrix: The adjacency matrix is also referred as a connection matrix that connects a…

Q: 2. Matrix A below is a singular matrix, calculate the value(s) of q. A = [3 2²²q] 32- [5 marks]

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Q: (a) Let A be a 5 x 5 matrix. Deduce the Jordan Canonical Form (JCF) with the assump- tions det(A-21)…

A: We are given with characteristic polynomial of A . From here we can say that eigen values of A are…

Q: Question 4. A circle centered at (0,0) with radius one is revolved about the line x=3. The solid of…

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Q: Find an elementary matrix E that satisfies the given equation. EC = D

A: To find an elementary matrix E satisfies the equation EC=D this implies E=C-1D C-1=1Cadj C…

Q: Match each the following EROS with its corresponding elementary matrix. R2 + 5R3 2. R2 -> 5R2 3. R1…

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Q: Find the elementary matrix E such that EB = A where A = E = 4 4 9 '1 2 -1 -6 4 0 0 4 00 1 0 and B =…

A: Find the elementary matrix E such that EB = AIt means E=AB-1So we need to find inverse of B .to find…

Q: 2 1 Find a mat rix P such that P- 0 3 1 0 P = O A. - P = ОВ. 1 %3D OC. 1 -1 0 P = O D. 1 1 11 P = O…

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Q: Find a mat rix P such that 30 P%= 1 2 30 0 2 1 0 OAP = %3D 3 -1] 1 0 OB P -3 1 -1 0 OcP = %3D 1 0…

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Q: TOTIO 0314 -11 0-2 1-1 3 0 0 0 1 -1 0 Consider the matrix A = 0 00-55 0 0 LO 0 Which of the…

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Q: [1 2 4] Let S = |2 1 3 be a symmetric matrix. Find the symmetric factorization of S as 4 3 1 S =…

A: We have  S=124213431 It is a symmetric matrix   We have to find symmetric factorization of S as…

Q: Let 4= [ 12 -0,²5] 3 Find an invertible matrix S and a diagonal matrix D such that S-¹ AS = D.

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Q: .

A: Consider the given nonsingular matrix: Here the objective is to find the elementary matrix whose…

Q: Evaluate the following matrices: 1. Co-factor Matrix E 2. A*E

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Q: 5. Compute the Jordan canonical form for the matrix 1 0 0 00-2 01 3

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Q: 2 A = -1 and B = 1 2 1 2 -1 mentary matrix E such that EA=B.

A: