Solution Found!
Solution: [M] When the right side of an equation Ax = b is
Chapter , Problem 17E(choose chapter or problem)
In Exercises 17–20, solve Ax = b and \(A(\Delta \mathbf{x})=\Delta \mathbf{b}\), and show that the inequality (2) holds in each case. (See the discussion of ill-conditioned matrices in Exercises 41–43 in Section 2.3.)
\(A=\left[\begin{array}{ll}4.5 & 3.1 \\ 1.6 & 1.1\end{array}\right], \mathbf{b}=\left[\begin{array}{r}19.249 \\ 6.843\end{array}\right], \Delta \mathbf{b}=\left[\begin{array}{r}.001 \\ -.003\end{array}\right]\)
Questions & Answers
QUESTION:
In Exercises 17–20, solve Ax = b and \(A(\Delta \mathbf{x})=\Delta \mathbf{b}\), and show that the inequality (2) holds in each case. (See the discussion of ill-conditioned matrices in Exercises 41–43 in Section 2.3.)
\(A=\left[\begin{array}{ll}4.5 & 3.1 \\ 1.6 & 1.1\end{array}\right], \mathbf{b}=\left[\begin{array}{r}19.249 \\ 6.843\end{array}\right], \Delta \mathbf{b}=\left[\begin{array}{r}.001 \\ -.003\end{array}\right]\)
ANSWER:Solution 17E
Step 1 of 4
Write the matrices,
Use the following Matlab commands to solve
Enter the matrices:
>> A=[4.5 3.1 ; 1.6 1.1]
A =
4.5000 3.1000
1.6000 1.1000
>> b=[19.249; 6.843]
b =
19.2490
6.8430
>> deltab=[0.001;-0.003]
deltab =
0.0010
-0.0030