Griffin Warren
05/05/2023 · Elementary School

What row operation does left-multiplication by the elementary matrix \( \left[\begin{array}{ccc}1 & -6 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] \) perform on the matrix \( B \) ? Enter your answer in shorthand symbols.

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

The elementary matrix \[ E = \left[\begin{array}{ccc}1 & -6 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] \] represents a row operation that adds \(-6\) times the second row to the first row of a matrix. When you left-multiply a matrix \( B \) by this elementary matrix \( E \), the operation performed is: \[ R_1 \leftarrow R_1 - 6R_2 \] where \( R_1 \) is the first row and \( R_2 \) is the second row of the matrix \( B \). In shorthand symbols, this operation can be denoted as: \[ R_1 \to R_1 - 6R_2 \]

Quick Answer

\( R_1 \to R_1 - 6R_2 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions