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.
:
y1 = a11x1 + a12x2
y2 = a12x1 + a22x2
1 2 .
,
(1, 2) = 11 + 22.
, 1 2 .
, , . , , , .
, :
.
1 2 . :
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. .
.
.
(1, 2) = 27 .
: 11 = 27, 12 = 5, 22 = 3.
: ;
(27 - l)(3 - l) 25 = 0
l2 - 30l + 56 = 0
l1 = 2; l2 = 28;
. :
17x2 + 12xy + 8y2 20 = 0.
11 = 17, 12 = 6, 22 = 8. =
:
(17 - l)(8 - l) - 36 = 0
136 - 8l - 17l + l2 36 = 0
l2 - 25l + 100 = 0
l1 = 5, l2 = 20.
: - .
. , . .
: :
, l1 = 2, l2 = 6.
:
m1 = 1, n1 =
m2 = 1, n2 =
:
.
:
:
. , . .
: :
, l1 = 1, l2 = 11.
:
m1 = 1, n1 =
m2 = 1, n2 =
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:
.
:
:
. , . .
4 + 32 + 16 = 0
: a11 = 0; a12 = 2; a22 = 3.
:
: l1 = -1, l2 = 4.
l1 = -1 l2 = 4
m1 = 1; n1 = -0,5; m2 = 1; n2 = 2;
= (1; -0,5) = (1; 2)
: - .
, .
:
Enter.
: Maple (Ó Waterloo Maple Inc.) , MapleV Release 4.
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