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# Show that a linear operator $mathrm{A}$ on a finite-dimensional vector space $mathrm{X}$ is invertible if and only if it is one-to-one or onto....

## Question

###### Show that a linear operator $mathrm{A}$ on a finite-dimensional vector space $mathrm{X}$ is invertible if and only if it is one-to-one or onto.

Show that a linear operator $mathrm{A}$ on a finite-dimensional vector space $mathrm{X}$ is invertible if and only if it is one-to-one or onto.

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