Suppose X is an n p matrix with rank p. (a) Show that ker(X'X) = ker(X).
Question:
Suppose X is an n × p matrix with rank p.
(a) Show that ker(X'X) = ker(X).
(b) Use part (a) and the last exercise to show that if X has full column rank, then X'X is nonsingular.
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a We show that kerXX kerX using part b kerXXkerA1FY ...View the full answer
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Related Book For 
Introduction To Mathematical Statistics
ISBN: 9780321794710
7th Edition
Authors: Robert V., Joseph W. McKean, Allen T. Craig
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