is obtained by substituting the second column of free terms.

179.If the determinant of the system is different from zero, then the solution of the system:

182.Solution of the system are:

x₁=1, x₂=-2.

x₁=-1, x₂=2.

190.A square matrix A n-th order is called degenerate if: detA=0

1.Solve the system if equations: !!!!!! (-4; 2; -1). 2.The point of intersection of the circumference (х-4)2+у2=25: !!!!!! М(0; 3)   3.Show the equation of circumference, where the center is situated in point (2;-3) and circumference passes through the point (5;1): !!!!!!!!!!! (х-2)2+(у+3)2=25.   4.The distance between centers of the circumferences х2+у2=16 and (х+3)2+(у+4)2=25: !!!!! 5   18.Abscissa of the circumference’s point х2+(у+4)2=41 and the point on it with ordinate equals zero: !!!!!! 5   19.The curve, specified by equalization (х-а)2+(у-b)2=r2: !!!!!!! Circumference.   20.Ordinate of the circumference’s point (х+3)2+у2=25, where abscissa equals zero: !!!!! 4   21. A canonical equalization of the ellipse: !!!!   22.The curve, set by the equalization : !!!!!!!!!!! Ellipse.   23.The point of intersection the hyperbola х2-4у2=16 with the axis of abscissas: !!! М( ±4; 0).   27.Equalizations of asymptotes of the hyperbola : !!!!!   28.Equalizations of asymptotes of the hyperbola : !!!! .   29.Describe the distance d from origin coordinates to point М(х;у): !!!!! ;   33.Length of the cutoff АВ with the coordinates А(х1;у1) and В(х2;у2):   36.Coordinates of the interval’s midpoint АВ, А(х1;у1)and В(х2;у2): .   39.A rectangle prescribed by coordinates of its apices А(1; 1), В(8;-5), С(3;5).Point М the midpoint of the leg АС. Length of the median ВМ equals: !!!!!! 10   40.Disposition of straight Ах+Ву+С=0, if В=0, С 0: !!!!!! parallel to axis ОХ   41. Angular coefficient of the straight 2,5у-5х+5=0: !!!! 2   42.Disposition of stright Ах+Ву+С=0, если А=0, С 0: !!!!! parallel to axis ОУ     44.Equalization of parabola, that symmetrical relative to the axis coordinates: !!!!!!! 46.Equalization of parabola directrix: !!!!!!!!!   48.Coordinates of focus F parabola: !!!!!!!!   49.Coordinates of focus F parabola : !!!!!!!!!! 50.Equalization of directrix parabola : !!!!!!!!!   53.Canonical equalization, and distance between the focuses equal 8 ad small axle b=3:   54.Canonical equalization of ellipse, where large axle а=6 , concentricity. =0,5:   59.Find an element С23 matrix С=АВ, if , : !!!!!!! 10   61.Find an element С33 matrix С=АВ, if , : !!!!!! 2 62.If the determiner square matrix equals zero, she called: !!!!!!!!!!! Singular. 63.If the determiner if square matrix is not equal zero, she called: Singular. Nonsingular. 64.The system of linear equalizations is calling compatible, if: !!!!! it has only one solution. 65.n – unknown quantity, m – quantity of the equalization of the system. What kind of condition contribute application the Kramer’s rule? !!!!!!!!!!!!! m = n   66.Coordinates of focus F parabola : !!!!!!!!!!!!!   67.If the equalization’ system doesn’t have solution, then the system is calling: Incompatible   68.If in the Kramer’s method D=0, Dх¹0, then a system: !!!!!!!!! Incompatible . 69.How is located the straight Ах+Ву+С=0, if В=0, С¹0: !!!!!!! Parallel to axis ОУ.   70. Formula of the calculus of the distance from point М(х1,у1) to the straight Ах+Ву+С=0: 71. In what meanings а and в these straights ах-2у-1=0, 6х-4у-в=0 are parallel: !!!! а=3, в 2.   72.In what meanings а and в these straights у = ах+2, у = 5х - в are parallel: !!!! а= 5, в -2.   73.How is located the straight Ах+Ву+С=0, if A=0 !!!!! Parallel to the axis ОХ.   74.How is located the straight Ах+Ву+С=0, if A=C=0: !!!! coincides with the axis ОХ.   75.How is located the straight Ах+Ву+С=0, if B=C=0: !!!! Coincides with the axis ОУ.   76.Transpose is the matrix when: !!!!!! permutation rows and columns.   77.Sho the formula derivative function y=arccosx: Вопрос № 80 Find the matrix Х, that satisfy the fellow conditions: 2А+Х=В where: А= В=   83.Expression of the polar coordinates of the point M in rectangular coordinates: .

84.Expression of the polar coordinates of the point M in rectangular coordinates: 85.The general equation of second degree: Ax2+Bхy+Cу2=+Dx+Ey+F=0. 96.Compute the multiplication of the matrixes АВ, if А= В= 136.If the items are below the main diagonal are zero, then the square matrix is called: triangular.   139.B as a matrix of four laboratory feeding birds in two different types of food:   148.Determination of the identity matrix: diagonal elements are composed of units of the remaining zeros.   149. What condition is required to add two matrices: the same dimension matrices.   150.What condition must be fulfilled for the multiplication of two matrices: number of columns of the first matrix equals the number of rows of the second matrix.   151.In which case the system of equations is called homogeneous: all the free terms are equal to zero. 163.Calculate determine the 3rd order: 16.   174.Calculate the determinant : 2.   176.In which case the determinant does not change if interchange rows and columns with the same number   177.An additional determinant of : is obtained by substituting the second column of free terms.   179.If the determinant of the system is different from zero, then the solution of the system: 182.Solution of the system are: x1=1, x2=-2. x1=-1, x2=2.   190.A square matrix A n-th order is called degenerate if: detA=0

1.Solve the system if equations: !!!!!! (-4; 2; -1). 2.The point of intersection of the circumference (х-4)2+у2=25: !!!!!! М(0; 3)   3.Show the equation of circumference, where the center is situated in point (2;-3) and circumference passes through the point (5;1): !!!!!!!!!!! (х-2)2+(у+3)2=25.   4.The distance between centers of the circumferences х2+у2=16 and (х+3)2+(у+4)2=25: !!!!! 5   18.Abscissa of the circumference’s point х2+(у+4)2=41 and the point on it with ordinate equals zero: !!!!!! 5   19.The curve, specified by equalization (х-а)2+(у-b)2=r2: !!!!!!! Circumference.   20.Ordinate of the circumference’s point (х+3)2+у2=25, where abscissa equals zero: !!!!! 4   21. A canonical equalization of the ellipse: !!!!   22.The curve, set by the equalization : !!!!!!!!!!! Ellipse.   23.The point of intersection the hyperbola х2-4у2=16 with the axis of abscissas: !!! М( ±4; 0).   27.Equalizations of asymptotes of the hyperbola : !!!!!   28.Equalizations of asymptotes of the hyperbola : !!!! .   29.Describe the distance d from origin coordinates to point М(х;у): !!!!! ;   33.Length of the cutoff АВ with the coordinates А(х1;у1) and В(х2;у2):   36.Coordinates of the interval’s midpoint АВ, А(х1;у1)and В(х2;у2): .   39.A rectangle prescribed by coordinates of its apices А(1; 1), В(8;-5), С(3;5).Point М the midpoint of the leg АС. Length of the median ВМ equals: !!!!!! 10   40.Disposition of straight Ах+Ву+С=0, if В=0, С 0: !!!!!! parallel to axis ОХ   41. Angular coefficient of the straight 2,5у-5х+5=0: !!!! 2   42.Disposition of stright Ах+Ву+С=0, если А=0, С 0: !!!!! parallel to axis ОУ     44.Equalization of parabola, that symmetrical relative to the axis coordinates: !!!!!!! 46.Equalization of parabola directrix: !!!!!!!!!   48.Coordinates of focus F parabola: !!!!!!!!   49.Coordinates of focus F parabola : !!!!!!!!!! 50.Equalization of directrix parabola : !!!!!!!!!   53.Canonical equalization, and distance between the focuses equal 8 ad small axle b=3:   54.Canonical equalization of ellipse, where large axle а=6 , concentricity. =0,5:   59.Find an element С23 matrix С=АВ, if , : !!!!!!! 10   61.Find an element С33 matrix С=АВ, if , : !!!!!! 2 62.If the determiner square matrix equals zero, she called: !!!!!!!!!!! Singular. 63.If the determiner if square matrix is not equal zero, she called: Singular. Nonsingular. 64.The system of linear equalizations is calling compatible, if: !!!!! it has only one solution. 65.n – unknown quantity, m – quantity of the equalization of the system. What kind of condition contribute application the Kramer’s rule? !!!!!!!!!!!!! m = n   66.Coordinates of focus F parabola : !!!!!!!!!!!!!   67.If the equalization’ system doesn’t have solution, then the system is calling: Incompatible   68.If in the Kramer’s method D=0, Dх¹0, then a system: !!!!!!!!! Incompatible . 69.How is located the straight Ах+Ву+С=0, if В=0, С¹0: !!!!!!! Parallel to axis ОУ.   70. Formula of the calculus of the distance from point М(х1,у1) to the straight Ах+Ву+С=0: 71. In what meanings а and в these straights ах-2у-1=0, 6х-4у-в=0 are parallel: !!!! а=3, в 2.   72.In what meanings а and в these straights у = ах+2, у = 5х - в are parallel: !!!! а= 5, в -2.   73.How is located the straight Ах+Ву+С=0, if A=0 !!!!! Parallel to the axis ОХ.   74.How is located the straight Ах+Ву+С=0, if A=C=0: !!!! coincides with the axis ОХ.   75.How is located the straight Ах+Ву+С=0, if B=C=0: !!!! Coincides with the axis ОУ.   76.Transpose is the matrix when: !!!!!! permutation rows and columns.   77.Sho the formula derivative function y=arccosx: Вопрос № 80 Find the matrix Х, that satisfy the fellow conditions: 2А+Х=В where: А= В=   83.Expression of the polar coordinates of the point M in rectangular coordinates: .

84.Expression of the polar coordinates of the point M in rectangular coordinates: 85.The general equation of second degree: Ax2+Bхy+Cу2=+Dx+Ey+F=0. 96.Compute the multiplication of the matrixes АВ, if А= В= 136.If the items are below the main diagonal are zero, then the square matrix is called: triangular.   139.B as a matrix of four laboratory feeding birds in two different types of food:   148.Determination of the identity matrix: diagonal elements are composed of units of the remaining zeros.   149. What condition is required to add two matrices: the same dimension matrices.   150.What condition must be fulfilled for the multiplication of two matrices: number of columns of the first matrix equals the number of rows of the second matrix.   151.In which case the system of equations is called homogeneous: all the free terms are equal to zero. 163.Calculate determine the 3rd order: 16.   174.Calculate the determinant : 2.   176.In which case the determinant does not change if interchange rows and columns with the same number   177.An additional determinant of : is obtained by substituting the second column of free terms.   179.If the determinant of the system is different from zero, then the solution of the system: 182.Solution of the system are: x1=1, x2=-2. x1=-1, x2=2.   190.A square matrix A n-th order is called degenerate if: detA=0

Date: 2015-12-24; view: 1093