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Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) T: R3 → R3, T(x, y, z) = (0, 0, 0) n-{[10,0,0) *.v,z€r} :X, y, zE. ,ZER

Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) T: R3 → R3, T(x, y, z) = (0, 0, 0) n-{[10,0,0) *.v,z€r} :X, y, zE. ,ZER

Advanced Engineering Mathematics
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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Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) \[ T: \mathbb{R}^3 \to \mathbb{R}^3, \, T(x, y, z) = (0, 0, 0) \] \[ \ker(T) = \left\{ \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix} : x, y, z \in \mathbb{R} \right\} \] There is a cross mark (indicating incorrect) next to this expression. Buttons below: “Need Help?” with options “Read It” and “Watch It.”
Transcribed Image Text:Find the kernel of the linear transformation. (If all real numbers are solutions, enter REALS.) \[ T: \mathbb{R}^3 \to \mathbb{R}^3, \, T(x, y, z) = (0, 0, 0) \] \[ \ker(T) = \left\{ \begin{pmatrix} 0 \\ 0 \\ 0 \end{pmatrix} : x, y, z \in \mathbb{R} \right\} \] There is a cross mark (indicating incorrect) next to this expression. Buttons below: “Need Help?” with options “Read It” and “Watch It.”
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