Suppose $A$ and $B$ are $n \times n$, B is invertible, and AB is invertible

# Suppose $A$ and $B$ are $n \times n$, B is invertible, and AB is invertible

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240 points

Suppose $A$ and $B$ are $n \times n$, B is invertible, and AB is invertible. Show that $A$ is invertible [Hint: Let $C=AB$, and solve this equation for $A$

Suppose $A jeffp ### 2 Answers Answered by 3 years ago 8.7k points start with the hint, $$C=AB \longrightarrow CB^{-1}=ABB^{-1} \longrightarrow A=CB^{-1}$$ since C and B are both invertible and the product of two invertible matrices is invertible then$A$must be invertible. Z Answered by 2 years ago 0 points #### Oh Snap! This Answer is Locked Thumbnail of first page Excerpt from file: LEG 500 Discussion Questions Drawing on arguments found in the reading for this week, determine the appropriate balance between unfettered free speech and the duties of public employees. Provide specific examples to support your response. This weeks readings discussed aspects of freedom of speech Filename: LEG 500 Discussion Questions.pdf Filesize: < 2 MB Downloads: 0 Print Length: 3 Pages/Slides Words: 1012 ### Your Answer Surround your text in *italics* or **bold**, to write a math equation use, for example, $x^2+2x+1=0\$ or $$\beta^2-1=0$$

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