4. Let A [2] [2] where all entries are in the finite field Z3. There are...
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4. Let A [2] [2] where all entries are in the finite field Z3. There are [1] [0] only 34 different 2 × 2 matrices with entries, so when you compute powers of A, some power must eventually repeat. If Am = An and A is invertible,, then An-m I. By matrix multiplication, find the smallest positive integer p for which Aº I. Then invent an invertible matrix B for which р has a different value, like 2 or 6. = " 4. Let A [2] [2] where all entries are in the finite field Z3. There are [1] [0] only 34 different 2 × 2 matrices with entries, so when you compute powers of A, some power must eventually repeat. If Am = An and A is invertible,, then An-m I. By matrix multiplication, find the smallest positive integer p for which Aº I. Then invent an invertible matrix B for which р has a different value, like 2 or 6. = "
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John E Freunds Mathematical Statistics with Applications
ISBN: 978-0134995373
8th edition
Authors: Irwin Miller, Marylees Miller
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