QuestionConsider the system of linear equations $A \vec{x}=$ $A=\left[\begin{array}{rrr} 1 & 2 & -3 \\ -1 & 0 & -1 \\ -3 & -9 & 15 \end{array}\right]$ (a) Use matrix multiplication to determine each (i) Suppose $\overrightarrow{x_{1}}=$ $\left[\begin{array}{c} 4 \\ -1 \\ -1 \end{array}\right]$
Then $\overrightarrow{x_{1}}$ is a solution to $A \overrightarrow{x_{1}}=\vec{b}$ when $\vec{b}=$

Studdy Solution
Verify the calculation by checking each component:
1. First component: $5$ is correct.
2. Second component: $-3$ is correct.
3. Third component: $-18$ is correct.
The vector $\vec{b}$ is confirmed as $\begin{bmatrix} 5 \\ -3 \\ -18 \end{bmatrix}$ .
The vector $\vec{b}$ is $\boxed{\begin{bmatrix} 5 \\ -3 \\ -18 \end{bmatrix}}$ .

View Full Solution - Free

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms