Linear maps: Linear maps
Kernel and image of a linear transformation
Let \(L\colon\mathbb{R}^4\to\mathbb{R}^3\) be the linear map with matrix
\[
\matrix{
1 &-5 & 2 &-8 \\
-5 &25 &-10 &40 \\
5 &-25 &10 &-40 \\
}
\]What is the dimension of the image of \(L\)?
\[
\matrix{
1 &-5 & 2 &-8 \\
-5 &25 &-10 &40 \\
5 &-25 &10 &-40 \\
}
\]What is the dimension of the image of \(L\)?
\(\dim{\im{L}} = \) |
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