Find the kernel of the linear transformation.
\(\displaystyle T:R^{4} \rightarrow R^{4}, T(x,y,z, w) = (y.x.w.z)\)
The answer is \(\displaystyle (0,0,0,0)\) However, more reasoning might be needed to show how to get there.
This answer comes from \(\displaystyle (1, 1, 1, 1) \)(in a vertical line) = \(\displaystyle 1, 1, 1, 1\) (in a vertical line)
or another way to say it: \(\displaystyle (x,y.z, w) \)(in a vertical line) = \(\displaystyle 1, 1, 1, 1\) (in a vertical line)
\(\displaystyle T:R^{4} \rightarrow R^{4}, T(x,y,z, w) = (y.x.w.z)\)
The answer is \(\displaystyle (0,0,0,0)\) However, more reasoning might be needed to show how to get there.
This answer comes from \(\displaystyle (1, 1, 1, 1) \)(in a vertical line) = \(\displaystyle 1, 1, 1, 1\) (in a vertical line)
or another way to say it: \(\displaystyle (x,y.z, w) \)(in a vertical line) = \(\displaystyle 1, 1, 1, 1\) (in a vertical line)
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