1. Consider the linear equation system Ax = b with A = ( -9.8 19.8 -9.9 19.9 3) and b= = ( 1080 ) . In the following, you may use that the inverse of the matrix A is given by A-¹ = 1 = ( 19.9 -19.8 9.9 -9.8 8). (a) What is the solution x of Ax = b? (b) Let xx denote the solution of the perturbed equation (A+SA)(x+dx) = b for ||A|| 0.01. Show that the relative error is bounded by ||dx||∞ ||x||∞ ≤1.

Q: 3. (a) Solve the matrix equation for X: -1 0 1 1 2 1 1 -3 1 -1 3 1 -1

A: If Ais a m×n matrix and B is a n×p, then AB is m×p Hence here X is 2×3 Let X = abcdef Thus…

Q: If the matrix ? = [ 2 3 −1 2 ], show that ? 2 − 4? + 7? = 0.

A: From the given problem:   A=23-12   So the characteristics equation is:   A-λI=0

Q: a 33. Given the following data, find frequencies of () the remaining positive classes, and (i)…

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Q: (2 -3 4 det 3 -5 = 45 1 2.

A: we have to find the value of x

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. -2x1…

A: Using Gauss elimination method

Q: 3. 14. 7. -3 -10 7. -12-13 13| 151 14 5. -3 13 |-15 -13 14 7. 11 3. -3 13 14 11 15 7. -13-10 7. -12…

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Q: 5. By using the matrix methods to solve the following linear system: I1 + 12 – 13 = 5, 3r1 +12 – 2r3…

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Q: Section 2.2 1. Find the inverse of each matrix or determine the matrix is singular. 4 -3] (a) s [1 0…

A: As per our guidelines we will only answer the question number 1 .If you want more answers of the…

Q: Q3. Solve by Matrix Inversion Method the following set of equation: -1] [X1 1 X2 = 10 X3 -3 1 [2] 2…

A: We can write our question in the form of AX = B, and we need to find the X. For that find X = A-1B.

Q: 3. Let B = {[4] [7]} and c={[7][7]} 4 9 C a. Find the change of coordinate matrix from C to B.

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Q: Suppose that X, Y, and 2 are jointly distributed random variables, that is, they are defined on the…

A: Given that E(X)=-8E(Y)=6E(Z)=-1Var(X)=33Var(Y)=25Var(Z)=48

Q: Use the following set of equ 2x1+ X2- X3 = -1 X2+ X3= 2 X1+ 2x2-X3=-1 Using Gauss-Jordan elimination…

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Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: Which of the following is the solution for 剛 3] 长剧团-肉 = 0-2 - -5/2 3/2 №哟] -3/2] -5/2 3/2] 2-5/2…

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Q: 4 a. b. In each part, find the matrix X solving the given equation. -10-2 [61] x= [20 -3 -10 (x-(8 x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Q.2) Use Inverse matrix method to solve the following equations: *- y +z = 1 2r – 2y + 2: = 2 -3r +…

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Q: a. b. -8 3 [5₂9)x= [²³]. Then X = 0 -7 x-4] Thenx= -189 61x=[5] Thenx= -6 L

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Q: Solve the matrix equation Ax = 0, where

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Q: For each of the following, factor the matrix A into a product QDQ' where Q is orthogonal and D is…

A: A is symmetric matrix ,then A is orthogonally diagonalizable, and Q is the orthogonal matrix, the…

Q: 5. Solve the system by using the matrix exponential 0 1 0 *-[2] + [2]· --[] x' = x x(1) = -3t 3

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Q: For each section, find the matrix X solving the given equation. 100 10-610 01 0 57-5 a. X = 00-6…

A: Step 1:Step 2:Step 3:

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

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Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: Solve the matrix equation for x -2 1 4 3 2 1 -1 -1| X = 6. 7 8. 9. 1 1 -4 1 3 7 9.

A: The solution is given in the next steps.

Q: Find the following matrix product, if possible.  [-3  -4  1]  [-1] [-8  0  4]    [-5]…

A: Matrix multiplication: If the number of columns in A equals the number of rows in B, the product of…

Q: Use an inverse matrix to solve the following system of equations. First write the system as a matrix…

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Q: (ЗАТ + 4CТВ)Т- 54 - 4B

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Q: A is a 3x3 matrix, X and B are 3x1 matrices; AX = B. Solve for matrix X. Show at least three steps,…

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