public function test_matrix_eigenvalues()
{
$cs = array('A:matrix([7,1,3],[5,-3,4],[5,3,-4])', 'E:first(eigenvalues(A))', 'dt:determinant(A)');
foreach ($cs as $s) {
$s1[] = new stack_cas_casstring($s);
}
$options = new stack_options();
$options->set_option('matrixparens', '(');
$at1 = new stack_cas_session($s1, $options, 0);
$this->assertEquals('[1-sqrt(66),sqrt(66)+1,-2]', $at1->get_value_key('E'));
$this->assertEquals('130', $at1->get_value_key('dt'));
$this->assertEquals('\\left(\\begin{array}{ccc} 7 & 1 & 3 \\\\ 5 & -3 & 4 \\\\ 5 & 3 & -4 \\end{array}\\right)', $at1->get_display_key('A'));
}
public function test_ordergreat()
{
$cs = array('ordergreat(i,j,k)', 'p:matrix([-7],[2],[-3])', 'q:matrix([i],[j],[k])', 'v:dotproduct(p,q)');
foreach ($cs as $s) {
$cs = new stack_cas_casstring($s);
$cs->get_valid('t');
$s1[] = $cs;
}
$at1 = new stack_cas_session($s1, null, 0);
$at1->instantiate();
// There has been a subtle change to associativity in Maxima 5.37.0.
$this->assertEquals('-7\\cdot i+2\\cdot j-3\\cdot k', $at1->get_display_key('v'));
}
