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INDEX

rejection of point from the plane, 70

set of lines, 46
solution
general, 20
of system of linear equations, 9
particular, 20
sum of matrices, 11
system
compatible, 16
determined, 16
equivalented, 16
Gauss’ method of solving, 18
linear homogeneous , 18
main determinant, 9
matrix method of solving, 13
noncompatible, 16
solution, 16
undetermined, 16

Theorem
about coordinates of vector, 26
about expansion of vector by basis, 29
about four vectors in space, 28
about three vectors in plane, 28
of Kronecker & Capelli, 16
top of the cone, 84
turning of axes, 42
two-sheet hyperboloid, 80
properties, 80

varied parameter, 43
vector, 21
directed, 45
module, 21
normal, 44
null, 21
orth, 21, 30
vector-scalar product, 37
vectors
colinear, 21
complanar, 21
left triple, 34
linear dependent, 27
linear independent, 27
right triple, 34
subtraction, 23
sum, 22, 26

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