: : . IV7

: . : IV7

I1,I2,I3,...,In I1 I2... In , . , (S) m n , :a11x1 + a12x2 + . . . + a1nxn = b1a21x1 + a22x2 + . . . + a2nxn = b2...am1x1 + am2x2 + . . . + amnxn = bm x1, x2, . . . , xn , ij, 1 i m, 1 j n , bi, 1 i m, . m n : m < n, m=n m > n.

: ,; ,

n n . x1 = 1 ; x2 = ; . . . ; xn = n k D = Dk k = 1, 2, . . . , n.

D k, k-

1, k- , 2, k- n- n k- ,

1, 2,... n ,

.

: x y + z = 1(m + 1)x + (m2 1)y + z = -1(m2 + 2)x + (m 2)y + 2z = 4

m 0 m 1 m -1, D0.x=Dx/D, y=Dy/D , z=Dz/D tj.

a m=0, D = Dx,= Dy= Dz=0x y + z = 1/*-1x y + z = -12x 2y + 2z = 4

0=-2 m=1, D =0, Dx,= -40. m = -1, D = Dx,= Dy= Dz=0x y + z = 1(m + 1)x + (m2 1)y + z = -1(m2 + 2)x + (m 2)y + 2z = 4

x-y+z=1/*-3z=-13x-3y+2z=40=0 z=-1 y=t, x=t+2