Find a basis for the null space of the following matrix S = 1 1 0 1 1*0 Show steps please matrix is also in picture
Find a basis for the null space of the following matrix S = 1 1 0 1 1*0 Show steps please matrix is also in picture
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find a basis for the null space of the following matrix
S = 1 1 0
1 1*0
Show steps please matrix is also in picture
![The image depicts a matrix labeled as \( S \), which is a 2x3 matrix. The matrix is structured as follows:
\[
S = \begin{pmatrix}
1 & 1 & 0 \\
1 & 1\ast 0 &
\end{pmatrix}
\]
- The first row consists of the elements: 1, 1, and 0.
- The second row consists of the elements: 1, \( 1\ast 0 \).
The element \( 1\ast 0 \) appears to involve a multiplication operation, which results in 0. Therefore, the element could also be interpreted as 0 upon simplification.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb7f1ce8-2552-49b5-ba1d-534a58de11ae%2F1443e631-05a1-4606-bdee-42ed1d269a9a%2F5oou4mo_processed.png&w=3840&q=75)
Transcribed Image Text:The image depicts a matrix labeled as \( S \), which is a 2x3 matrix. The matrix is structured as follows:
\[
S = \begin{pmatrix}
1 & 1 & 0 \\
1 & 1\ast 0 &
\end{pmatrix}
\]
- The first row consists of the elements: 1, 1, and 0.
- The second row consists of the elements: 1, \( 1\ast 0 \).
The element \( 1\ast 0 \) appears to involve a multiplication operation, which results in 0. Therefore, the element could also be interpreted as 0 upon simplification.
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