(e) The null space of the matrix 12 1 3 24 8 A = 0 0 0 3 6 12 1 2 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Enter which dimensional the matrix is. (1,2,3 or 4)

(e) The null space of the matrix

\[ A = \begin{bmatrix} 1 & 2 & 1 & 3 \\ 0 & 2 & 4 & 8 \\ 0 & 3 & 6 & 12 \\ 0 & 1 & 2 & 4 \end{bmatrix} \]

is... [ Select ]

The problem provides a matrix \( A \) and asks for the null space of this matrix. The user is expected to select the appropriate answer from a dropdown menu. The null space of a matrix consists of all vectors \( \mathbf{v} \) such that \( A\mathbf{v} = \mathbf{0} \), where \( \mathbf{0} \) is the zero vector.
Transcribed Image Text:(e) The null space of the matrix \[ A = \begin{bmatrix} 1 & 2 & 1 & 3 \\ 0 & 2 & 4 & 8 \\ 0 & 3 & 6 & 12 \\ 0 & 1 & 2 & 4 \end{bmatrix} \] is... [ Select ] The problem provides a matrix \( A \) and asks for the null space of this matrix. The user is expected to select the appropriate answer from a dropdown menu. The null space of a matrix consists of all vectors \( \mathbf{v} \) such that \( A\mathbf{v} = \mathbf{0} \), where \( \mathbf{0} \) is the zero vector.
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