Relationship between Kernel and Range of a Linear Transformation

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Thank you so much for the great explanation!

ilkeuyankerstudent
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I just happened on this video, read the title and said "Obviously, the range is at the expense of the kernel, and vice versa!" Then I watched, felt smug for a bit as I felt myself confirmed, and then saw that the input to a linear transformation can be a matrix!! WTF? With linear algebra, there's always another shoe waiting to drop.

eswyatt