Find bases for the null space and row space of A. 3 4 6. -10 -8 -4 -16 A = -1 -1 0 -2 3 4 7 13 14
Find bases for the null space and row space of A. 3 4 6. -10 -8 -4 -16 A = -1 -1 0 -2 3 4 7 13 14
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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![**Current Attempt in Progress**
Find bases for the null space and row space of A.
\[
A = \begin{bmatrix} 1 & 3 & 4 & 6 & 8 \\ 2 & -10 & -8 & -4 & -16 \\ -1 & 0 & -1 & 0 & -2 \\ 3 & 4 & 7 & 13 & 14 \end{bmatrix}
\]
Enter the basis for the null space, and the row space of the matrix A.
**Null space of A is :**
\[
\mathbf{v_1} = \begin{bmatrix} \_\_ & , & \_\_ & , & 1 & , & \_\_ & , & \_\_ \end{bmatrix}
\]
\[
\mathbf{v_2} = \begin{bmatrix} \_\_ & , & \_\_ & , & \_\_ & , & \_\_ & , & 1 \end{bmatrix}^T
\]
**Row space of A is :**
\[
\mathbf{r_1} = \begin{bmatrix} 1 & , & \_\_ & , & \_\_ & , & \_\_ & , & \_\_ \end{bmatrix}
\]
\[
\mathbf{r_2} = \begin{bmatrix} \_\_ & , & \_\_ & , & 1 & , & \_\_ & , & \_\_ \end{bmatrix}
\]
\[
\mathbf{r_3} = \begin{bmatrix} \_\_ & , & \_\_ & , & \_\_ & , & 1 & , & \_\_ \end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9b53ebc-804c-49f3-b917-c4e1c4975b52%2Fe91b0222-6796-4faf-9c53-68fdfbb37791%2Fklmkul_processed.png&w=3840&q=75)
Transcribed Image Text:**Current Attempt in Progress**
Find bases for the null space and row space of A.
\[
A = \begin{bmatrix} 1 & 3 & 4 & 6 & 8 \\ 2 & -10 & -8 & -4 & -16 \\ -1 & 0 & -1 & 0 & -2 \\ 3 & 4 & 7 & 13 & 14 \end{bmatrix}
\]
Enter the basis for the null space, and the row space of the matrix A.
**Null space of A is :**
\[
\mathbf{v_1} = \begin{bmatrix} \_\_ & , & \_\_ & , & 1 & , & \_\_ & , & \_\_ \end{bmatrix}
\]
\[
\mathbf{v_2} = \begin{bmatrix} \_\_ & , & \_\_ & , & \_\_ & , & \_\_ & , & 1 \end{bmatrix}^T
\]
**Row space of A is :**
\[
\mathbf{r_1} = \begin{bmatrix} 1 & , & \_\_ & , & \_\_ & , & \_\_ & , & \_\_ \end{bmatrix}
\]
\[
\mathbf{r_2} = \begin{bmatrix} \_\_ & , & \_\_ & , & 1 & , & \_\_ & , & \_\_ \end{bmatrix}
\]
\[
\mathbf{r_3} = \begin{bmatrix} \_\_ & , & \_\_ & , & \_\_ & , & 1 & , & \_\_ \end{bmatrix}
\]
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