2. Consider the subspace im(A) of Rº, where 1 1 A = | 1 1 3 Find a basis of ker(A"), and draw a sketch illustrating the formula (im A)- = ker(A?) in this case. T
2. Consider the subspace im(A) of Rº, where 1 1 A = | 1 1 3 Find a basis of ker(A"), and draw a sketch illustrating the formula (im A)- = ker(A?) in this case. T
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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![2. Consider the subspace im(A) of \( \mathbb{R}^3 \), where
\[
A = \begin{bmatrix}
1 & 1 \\
1 & 2 \\
1 & 3
\end{bmatrix}.
\]
Find a basis of ker(\( A^T \)), and draw a sketch illustrating the formula (im \( A \))\( ^{\perp} = \) ker(\( A^T \)) in this case.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce768285-628a-4724-9f2b-b5d3bc5907ae%2F660c2f48-e313-4088-bd35-2e42d50482c2%2F4msw07l_processed.png&w=3840&q=75)
Transcribed Image Text:2. Consider the subspace im(A) of \( \mathbb{R}^3 \), where
\[
A = \begin{bmatrix}
1 & 1 \\
1 & 2 \\
1 & 3
\end{bmatrix}.
\]
Find a basis of ker(\( A^T \)), and draw a sketch illustrating the formula (im \( A \))\( ^{\perp} = \) ker(\( A^T \)) in this case.
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