Question
If $A$ is an ideal of a ring $R$ and 1 belongs to $A$, prove that $A=R$. (This exercise is referred to in this chapter.)
Step 1
Since 1 belongs to A, we know that A is nonempty. Show more…
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In Exercises 31–36, mention an appropriate theorem in your explanation. Show that if $A$ is invertible, then $\operatorname{det} A^{-1}=\frac{1}{\operatorname{det} A}$
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