Matakuliah
Tahun
: Matrix Algebra for Statistics
: 2009
Matriks Operator
Pertemuan 9
soal
1. Let A be an m x n matrix partitioned as
where A11 is rxr and rank(A) = rank(A11) = r.
(a) Show that A22 = A21A11-1 A12.
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2. Let the matrix G be given by
where each of the matrices A, D, and F is
square and nonsingular. Find the
inverse of G.
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3. Let
Compute A Band B  A.
b) Find tr(A  B).
c) Compute IA BI.
d) Give the eigenvalues of A  B.
e) Find (A  B)
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