Let p = 37, and let f = x – 1. For each a in F,[r]/f, either find the inverse a why the inverse does not exist. A computer program is needed for some (but not all) of these. a-l or explain

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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3. Let p = 37, and let f = x7 – 1. For each a in F,[r]/f, either find the inverse a-l or explain
why the inverse does not exist. A computer program is needed for some (but not all) of these.
(a) a = 8
(c) a = x
(e) a = x+2
a = x² +1
(b) a = 0
(d) a = x+ 1
(f) a =
a² – 1
(h) a =
x* + x? +1
Transcribed Image Text:3. Let p = 37, and let f = x7 – 1. For each a in F,[r]/f, either find the inverse a-l or explain why the inverse does not exist. A computer program is needed for some (but not all) of these. (a) a = 8 (c) a = x (e) a = x+2 a = x² +1 (b) a = 0 (d) a = x+ 1 (f) a = a² – 1 (h) a = x* + x? +1
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