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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 (-4)2+2=25: !!!!!! (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): !!!!!!!!!!! (-2)2+(+3)2=25.   4.The distance between centers of the circumferences 2+2=16 and (+3)2+(+4)2=25: !!!!! 5   18.Abscissa of the circumferences point 2+(+4)2=41 and the point on it with ordinate equals zero: !!!!!! 5   19.The curve, specified by equalization (-)2+(-b)2=r2: !!!!!!! Circumference.   20.Ordinate of the circumferences point (+3)2+2=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 2-42=16 with the axis of abscissas: !!! ( 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 (;): !!!!! ;   33.Length of the cutoff with the coordinates (1;1) and (2;2):   36.Coordinates of the intervals midpoint , (1;1)and (2;2): .   39.A rectangle prescribed by coordinates of its apices (1; 1), (8;-5), (3;5).Point the midpoint of the leg . Length of the median equals: !!!!!! 10   40.Disposition of straight ++=0, if =0, 0: !!!!!! parallel to axis   41. Angular coefficient of the straight 2,5-5+5=0: !!!! 2   42.Disposition of stright ++=0, =0, 0: !!!!! parallel to axis     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 =6 , concentricity. =0,5:   59.Find an element 23 matrix =, if , : !!!!!!! 10   61.Find an element 33 matrix =, 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 Kramers rule? !!!!!!!!!!!!! m = n   66.Coordinates of focus F parabola : !!!!!!!!!!!!!   67.If the equalization system doesnt have solution, then the system is calling: Incompatible   68.If in the Kramers method D=0, D¹0, then a system: !!!!!!!!! Incompatible . 69.How is located the straight ++=0, if =0, ¹0: !!!!!!! Parallel to axis .   70. Formula of the calculus of the distance from point (1,1) to the straight ++=0: 71. In what meanings and these straights -2-1=0, 6-4-=0 are parallel: !!!! =3, 2.   72.In what meanings and these straights = +2, = 5 - are parallel: !!!! = 5, -2.   73.How is located the straight ++=0, if A=0 !!!!! Parallel to the axis .   74.How is located the straight ++=0, if A=C=0: !!!! coincides with the axis .   75.How is located the straight ++=0, if B=C=0: !!!! Coincides with the axis .   76.Transpose is the matrix when: !!!!!! permutation rows and columns.   77.Sho the formula derivative function y=arccosx: 80 Find the matrix , that satisfy the fellow conditions: 2+= where: = =   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+By+C2=+Dx+Ey+F=0. 96.Compute the multiplication of the matrixes , if = = 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 (-4)2+2=25: !!!!!! (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): !!!!!!!!!!! (-2)2+(+3)2=25.   4.The distance between centers of the circumferences 2+2=16 and (+3)2+(+4)2=25: !!!!! 5   18.Abscissa of the circumferences point 2+(+4)2=41 and the point on it with ordinate equals zero: !!!!!! 5   19.The curve, specified by equalization (-)2+(-b)2=r2: !!!!!!! Circumference.   20.Ordinate of the circumferences point (+3)2+2=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 2-42=16 with the axis of abscissas: !!! ( 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 (;): !!!!! ;   33.Length of the cutoff with the coordinates (1;1) and (2;2):   36.Coordinates of the intervals midpoint , (1;1)and (2;2): .   39.A rectangle prescribed by coordinates of its apices (1; 1), (8;-5), (3;5).Point the midpoint of the leg . Length of the median equals: !!!!!! 10   40.Disposition of straight ++=0, if =0, 0: !!!!!! parallel to axis   41. Angular coefficient of the straight 2,5-5+5=0: !!!! 2   42.Disposition of stright ++=0, =0, 0: !!!!! parallel to axis     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 =6 , concentricity. =0,5:   59.Find an element 23 matrix =, if , : !!!!!!! 10   61.Find an element 33 matrix =, 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 Kramers rule? !!!!!!!!!!!!! m = n   66.Coordinates of focus F parabola : !!!!!!!!!!!!!   67.If the equalization system doesnt have solution, then the system is calling: Incompatible   68.If in the Kramers method D=0, D¹0, then a system: !!!!!!!!! Incompatible . 69.How is located the straight ++=0, if =0, ¹0: !!!!!!! Parallel to axis .   70. Formula of the calculus of the distance from point (1,1) to the straight ++=0: 71. In what meanings and these straights -2-1=0, 6-4-=0 are parallel: !!!! =3, 2.   72.In what meanings and these straights = +2, = 5 - are parallel: !!!! = 5, -2.   73.How is located the straight ++=0, if A=0 !!!!! Parallel to the axis .   74.How is located the straight ++=0, if A=C=0: !!!! coincides with the axis .   75.How is located the straight ++=0, if B=C=0: !!!! Coincides with the axis .   76.Transpose is the matrix when: !!!!!! permutation rows and columns.   77.Sho the formula derivative function y=arccosx: 80 Find the matrix , that satisfy the fellow conditions: 2+= where: = =   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+By+C2=+Dx+Ey+F=0. 96.Compute the multiplication of the matrixes , if = = 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: 780


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