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diff --git a/spec/ruby/library/matrix/lup_decomposition/u_spec.rb b/spec/ruby/library/matrix/lup_decomposition/u_spec.rb
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+++ b/spec/ruby/library/matrix/lup_decomposition/u_spec.rb
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+require File.expand_path('../../../../spec_helper', __FILE__)
+require 'matrix'
+
+describe "Matrix::LUPDecomposition#u" do
+ before :each do
+ @a = Matrix[[7, 8, 9], [14, 46, 51], [28, 82, 163]]
+ @lu = Matrix::LUPDecomposition.new(@a)
+ @u = @lu.u
+ end
+
+ it "returns the second element of to_a" do
+ @u.should == @lu.to_a[1]
+ end
+
+ it "returns an upper triangular matrix" do
+ @u.upper_triangular?.should be_true
+ end
+end