many of ht: Analyse this according to how many of each rank 0,1,2. ons: You may assume that projections of Tank this context all have the

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
Problem 63EQ
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There are 24 = 16 matrices in M₂ (F2). How many of them are projections? You may assume that projections of rank 1 in this context all have trace 1.
Hint: Analyse this according to how many of each rank 0,1,2.
Transcribed Image Text:There are 24 = 16 matrices in M₂ (F2). How many of them are projections? You may assume that projections of rank 1 in this context all have trace 1. Hint: Analyse this according to how many of each rank 0,1,2.
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