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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 (õ-4)22=25: !!!!!! Ì(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): !!!!!!!!!!! (õ-2)2+(ó+3)2=25.   4.The distance between centers of the circumferences õ22=16 and (õ+3)2+(ó+4)2=25: !!!!! 5   18.Abscissa of the circumference’s point õ2+(ó+4)2=41 and the point on it with ordinate equals zero: !!!!!! 5   19.The curve, specified by equalization (õ-à)2+(ó-b)2=r2: !!!!!!! Circumference.   20.Ordinate of the circumference’s point (õ+3)22=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 õ2-4ó2=16 with the axis of abscissas: !!! Ì( ±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 Ì(õ;ó): !!!!! ;   33.Length of the cutoff À with the coordinates À(õ11) and Â(õ22):   36.Coordinates of the interval’s midpoint ÀÂ, À(õ11)and Â(õ22): .   39.A rectangle prescribed by coordinates of its apices À(1; 1), Â(8;-5), Ñ(3;5).Point Ì the midpoint of the leg ÀÑ. Length of the median ÂÌ equals: !!!!!! 10   40.Disposition of straight Àõ+Âó+Ñ=0, if Â=0, Ñ 0: !!!!!! parallel to axis ÎÕ   41. Angular coefficient of the straight 2,5ó-5õ+5=0: !!!! 2   42.Disposition of stright Àõ+Âó+Ñ=0, åñëè À=0, Ñ 0: !!!!! parallel to axis ÎÓ     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 à=6 , concentricity. =0,5:   59.Find an element Ñ23 matrix Ñ=ÀÂ, if , : !!!!!!! 10   61.Find an element Ñ33 matrix Ñ=ÀÂ, 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, Dõ¹0, then a system: !!!!!!!!! Incompatible . 69.How is located the straight Àõ+Âó+Ñ=0, if Â=0, ѹ0: !!!!!!! Parallel to axis ÎÓ.   70. Formula of the calculus of the distance from point Ì(õ11) to the straight Àõ+Âó+Ñ=0: 71. In what meanings à and â these straights àõ-2ó-1=0, 6õ-4ó-â=0 are parallel: !!!! à=3, â 2.   72.In what meanings à and â these straights ó = àõ+2, ó = 5õ - â are parallel: !!!! à= 5, â -2.   73.How is located the straight Àõ+Âó+Ñ=0, if A=0 !!!!! Parallel to the axis ÎÕ.   74.How is located the straight Àõ+Âó+Ñ=0, if A=C=0: !!!! coincides with the axis ÎÕ.   75.How is located the straight Àõ+Âó+Ñ=0, if B=C=0: !!!! Coincides with the axis ÎÓ.   76.Transpose is the matrix when: !!!!!! permutation rows and columns.   77.Sho the formula derivative function y=arccosx: Âîïðîñ ¹ 80 Find the matrix Õ, that satisfy the fellow conditions: 2À+Õ= where: À= Â=   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+Bõy+Có2=+Dx+Ey+F=0. 96.Compute the multiplication of the matrixes ÀÂ, if À= Â= 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 (õ-4)22=25: !!!!!! Ì(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): !!!!!!!!!!! (õ-2)2+(ó+3)2=25.   4.The distance between centers of the circumferences õ22=16 and (õ+3)2+(ó+4)2=25: !!!!! 5   18.Abscissa of the circumference’s point õ2+(ó+4)2=41 and the point on it with ordinate equals zero: !!!!!! 5   19.The curve, specified by equalization (õ-à)2+(ó-b)2=r2: !!!!!!! Circumference.   20.Ordinate of the circumference’s point (õ+3)22=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 õ2-4ó2=16 with the axis of abscissas: !!! Ì( ±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 Ì(õ;ó): !!!!! ;   33.Length of the cutoff À with the coordinates À(õ11) and Â(õ22):   36.Coordinates of the interval’s midpoint ÀÂ, À(õ11)and Â(õ22): .   39.A rectangle prescribed by coordinates of its apices À(1; 1), Â(8;-5), Ñ(3;5).Point Ì the midpoint of the leg ÀÑ. Length of the median ÂÌ equals: !!!!!! 10   40.Disposition of straight Àõ+Âó+Ñ=0, if Â=0, Ñ 0: !!!!!! parallel to axis ÎÕ   41. Angular coefficient of the straight 2,5ó-5õ+5=0: !!!! 2   42.Disposition of stright Àõ+Âó+Ñ=0, åñëè À=0, Ñ 0: !!!!! parallel to axis ÎÓ     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 à=6 , concentricity. =0,5:   59.Find an element Ñ23 matrix Ñ=ÀÂ, if , : !!!!!!! 10   61.Find an element Ñ33 matrix Ñ=ÀÂ, 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, Dõ¹0, then a system: !!!!!!!!! Incompatible . 69.How is located the straight Àõ+Âó+Ñ=0, if Â=0, ѹ0: !!!!!!! Parallel to axis ÎÓ.   70. Formula of the calculus of the distance from point Ì(õ11) to the straight Àõ+Âó+Ñ=0: 71. In what meanings à and â these straights àõ-2ó-1=0, 6õ-4ó-â=0 are parallel: !!!! à=3, â 2.   72.In what meanings à and â these straights ó = àõ+2, ó = 5õ - â are parallel: !!!! à= 5, â -2.   73.How is located the straight Àõ+Âó+Ñ=0, if A=0 !!!!! Parallel to the axis ÎÕ.   74.How is located the straight Àõ+Âó+Ñ=0, if A=C=0: !!!! coincides with the axis ÎÕ.   75.How is located the straight Àõ+Âó+Ñ=0, if B=C=0: !!!! Coincides with the axis ÎÓ.   76.Transpose is the matrix when: !!!!!! permutation rows and columns.   77.Sho the formula derivative function y=arccosx: Âîïðîñ ¹ 80 Find the matrix Õ, that satisfy the fellow conditions: 2À+Õ= where: À= Â=   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+Bõy+Có2=+Dx+Ey+F=0. 96.Compute the multiplication of the matrixes ÀÂ, if À= Â= 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: 966


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