3.0 4.5 7.0 2.5 9.0 0.5 f(x) 2.5 1.0 a) By using Quadratic Spline Method, determine the 8 simultaneous equations used to form the matrix [4.5 1 0 0 0 0 0b, 0||C1 0 0 |a2 1 0 20.25 4.5 1 1 49 7 1 2.5 49 7 1||b, |2.5 3 1 0 || C2 2.5 0 81 1 |az 0|b, 1 0 -14 -1 0 ||c, 9. 0.5 1 -9 -1 0 14

Q: -1 Give the co-factor of matrix C, where C = 1 2 1 1 5 2 1 1 -1 2 -4 5 2, -1 3 1 B -2 6. -2 3 -9 3…

A: Given,            C = 1-1-4125112

Q: 1. Let B be the matrix obtained from A after the row operations 9R3 R3; R1 + R2, 4R1 +R3 → R3 and…

A:

Q: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on.a 3 x 3…

A:

Q: 3. Let A be n x n matrix that has zeros on the main diagonal and ones everywhere else. Example of a…

A: Here is the solution of the given problem.

Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. 1 3 A = | 0 -5 -6 0 3 4 0 0 0 0…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Which of the following matrices of rationals is in reduced row- echelon form? 1 0 0 -3 1 (a) 1 4 (b)…

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

Q: 73 الوفت المتبفي م5 Tf A is a 3 x 3 matrix (a) has no solution (b) has exactly one so (c) is either…

A:

Q: -x-1 -x 2 Let A = 1 2 (i) Determine an expression for det(A). (ii) For what values of x will the…

A:

Q: 1. Given the matrix A below, 1 1 |0 2 A = 2 1 1 2 0 1 4 L2 0 1 solve for det inv A.

A:

Q: (d) The decomposition of matrix A = -1 3 5' p 0 0 2 1. 1 0 and is L = (9 \0 1/9 4 1 -1 3 5 U = 18 20…

A: We have to find  the value of p,q,r.

Q: 0 1 2 2 Suppose C is the matrix C = What is the reduced row echelon form R = rref(B) 0 3 8 5 с с…

A:

Q: 1 a Consider a 3x3 matrix P= 0 1 2, and an another matrix 0 0 1| Q = [q] such that P² -Q =I.Here, I…

A: Given a 3x3 matrix P=12a012001, to find a 3x3 matrix Q such that P2-Q=I, where q13=8, that is, the…

Q: The matrix 1 0 1 -1 1 1 1 0 1 [ −1 1 1] has no QR factorization. O True O False

A: We have to determine the following statement is true or false ; The matrix  101-111101-111  has no…

Q: 1 1 a) Let A = 1 x -1 -1 1 х (i) Compute the value of det(A). (ii) For what values of x will the…

A: Solution (a): A=x111x-1-11x, then (i). the determinant is…

Q: (1 2 3 Q15. Apply Gauss-Jordan method to find the inverse of the matrix 0 1 2 3 1 1

A:

Q: 5. Use the Gaussian Elimanation (a) to write the following agumented matrix in the reduced row…

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Q: -1 -1 1] 1 Compute the QR factorization for the matrix A : 3 3 -1 -1 5 | 1 3 7

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1- A=(9 6 x)' , B=(1 x x), which of the following values of x will result in BA=0: then b) x=-3 ; c)…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: [1 0 1] Q2. Is the matrix A = 0 1 1 defective or diagonalizable? If diagonalizable, write the…

A: We have to solve given problem:

Q: 1 2 Let A = 1 3 Construct a 2 x3 matrix C (by trial and error) using only 1, - 1, and 0 as entries,…

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Q: Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx +f = 0,…

A:

Q: -3] Let A be a 4 x 4 diagonalizable matrix, P = |–1 1 1 0 2 1 [1 01 P-1 D = |0 Lo 2 1 3 If P-1 A P =…

A: Given A be a 4×4 diagonalizable matrix. And given matrix is P=00−3−110102, D=100020002 and…

Q: 2. Consider the matrices [2 0 -1 D = |1 4 5 4 [2 -1 0 1 1 0 3 A B 3 and F = 0 15 2 (a) Show that A,…

A:

Q: 1 0 2 2. Given the matrix. A = 2 -1 3 find A-, using the Gauss-Jordan method 4 1

A:

Q: 1. 4. 2 7 2 2 Let A = 1 4 6 7 1 4 2 2 Decide whether the matrix A is invertible, and if so, use the…

A: To decide whether the given matrix is invertible Or not.

Q: (-1 2 (b) Compute p(A) for the given matrix A = and the polynomial p(x)=x² – 2x+1 0 3

A:

Q: 1 1 0 [-7 1. 4. Given that A = - 8 find two elementary matrices C and D so 0 1 0 and B -2 0 1] 14 -1…

A: Given: The matrices  A=110010-201  and  B=-71414-1-8-201

Q: 2 0 O1: Let A = |B 3 1. Find the values of a and B for which A is 1 3 1. Non-singular. 2. SDD. 3.…

A:

Q: 14. Among the following reduced augmented matrices. Which corresponding system of equations has NO…

A: Given the augmented matrices we write the corresponding system of equations in the variables x,y,z

Q: 1 3 2 6. 4 7. Find AB + AC, if A = [5 6, B = -- and C = 2 3 - 3 5 2 5 4 1 40 А. 48 D. 7 B. [48 7 51]…

A:

Q: 3. Let A be n x n matrix that has zeros on the main diagonal and ones everywhere else. Example of a…

A:

Q: If A is a 2 x 2 matrix such that det(A) - 3 and tr(A) =5 then the characterestic polynomial of A is…

A: The characteristic polynomial is, p(λ) = λ² - (tr A) λ + (det A)  Here, tr(A) = 5 and det(A) = -3

Q: [1 0 0 Let A = 2 1 0 and b = 1 3 2 3 (a) Use Gauss-Jordan elimination to compute the inverse of the…

A:

Q: Table Q4(b) is generated from the function f(x)= e* – 4x² + B , where B is the last two digits of…

A:

Q: 1) (a) Find an orthogonal matrix P and a diagonal matrix D such that 2 -2 PDP": 5 -4 2 -2 -4 5 (b)…

A: Given: PDPT=22-225-4-2-45=A (say)…

Q: '-2 -1] [3 5 B= 0 T-1 2 0 | 2 0 3 4. Let A, B and C be the matrices A= 1 and C = 3 Find a matrix X…

A:

Q: Q1: For given matrix A, find a 3 × 3 non-singular matrix P such that P-1AP is diagonal. 1 A =|-3 -5…

A: Given :-  For a given matrix A, a non- singular matrix P such that P-1AP is a diagonal. A =…

Q: [1 0 -3 T-4 9. 37 Show that A = 1 3 and B = |-4 8 2 are similar matrices by finding an invertible…

A: First we'll find eigen value and eigen vectors of matrices A and B.  For matrix B

Q: 2) Consider the following matrices: 2 0 3 X1 D = |0 2 -1| and x = |x2 1 0 -1 X3 Determine det(D),…

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Q: г1 2 31 [01 l4 5 and V = |1]. What is the sum of the entries of the C = matrix V" (AT – (A – B)")C ?…

A:

Q: 1 1 1' Let A be a 3x3 diagonalizable matrix, P 1 1 p-1- 0 1 2. 0 0 -2 D 0. If P-'AP = D then A2 is…

A: I have explained all necessary information in the solution part

Q: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b w matrix of the form 2 -1 0 0 -1. 2 -1…

A: Given Data: Let us consider the given matrix  A= 2 -1   0   0...........-1-1   2  -1…

Q: (25 pts) Use the results of LU decomposition 01[2 00 1/2 -1/2 -3 A=LU= 3/2 1 li/2 1 11 Lo 0. 1 to…

A: Solution: The objective is to solve Ax=b using Gauss elimination method

Q: -4 Let A = Find a matrix B such that AB=I. 1 - 1 1 O a) 4 O b) 1 1 4 3. c) - 3. 3 1 4 3. o d) 3. 4…

A: To find a matrix B such that AB=I

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

A:

Q: -4 1 -2 -2 7 14 Show that A= -14 5 -14 | and B = 11 18 are similar matrices by finding an invertible…

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Q: 1 0 0 -1 -2 Ais a 3 x 5 matrix. If AC = 0 1 0 3 4 then the 1 -5 6 size of C is

A: Given : A is a 3 x  5 matrix From the given matrix AC AC is a 3 x 5 matrix We know that , to…

Q: -1 4 (1.1) Consider the matrix A = 1 What is the nullity of AT? 1 -4 -4 -8 (a) 0 (b) 1 (c) 2 (d) 3…

A:

Q: 1. Given the matrix A below, [1 1 0 1] 0 2 1 2 A 2 1 0 1 L2 0 1 41 solve for det inv A.

A: Det(inv A ) =1/Det(A).

Q: 1 1. Find numbers x, y and z such that the matrix A= 0 0 0 1 0 4 -2 A?+ satisfies 1 4 = 13 0.

A: