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 1. In a homogeneous linear system with n unknowns and rank r number of basic solutions is: n - r 2. The homogeneous system of n linear equations in n unknowns is consistent: Always 3. Two lines are parallel if and only if the following condition: Slope of the line are equal 4. The slope of the line is called ... inclination angle of this line to the x-axis tangent 5. The product of two matrices exist if: the number of columns of the first matrix are equal to the number of rows of the second matrix 6. The length of the vector is: the square root of the sum of squares of all the coordinate 7. Two vectors are called orthogonal if their scalar product: equal zero 8. A system of m linear equations in n unknowns called consistent if it is: It has at least one decision 9. Three vector lying in the same plane: always linearly dependent 10. The system of m linear equations in n unknowns called uncertain if it: infinitely many solutions 11. The homogeneous system of n linear equations in n unknowns is uncertain: the main determinant of the matrix of the system is equal to zero 12. A matrix is ​​called singular if its determinant zero 13. The system of m linear equations in n unknowns called particular if it: It has one solution 14. rank of the matrix is ​​equal to: the number of non-zero rows, then bring it to a triangular form (?) 15. If two lines interchanged, the determinant: changes sign 16. The system of m linear equations in n unknowns is consistent if: Rank main matrix equals the rank of the augmented matrix 17. If a line multiplied by the determinant nonzero number k, the value of the determinant: change in the time k 18. The eigenvectors of a linear operator corresponding to different eigenvalues ​​are necessarily mutually orthogonal (?) 19. Two lines are perpendicular if and only if the following condition: the product of the angular coefficients equal to -1 20. The set of all eigenvalues ​​of the linear transformation is called spectrum 21. A matrix is ​​called the transpose if: line change to the appropriate columns (?) 22. Make a general equation of the line passing through the point M (1,3) perpendicular to the line x + 3y = 0, 3, in the form Ax + By + C = 0. A = 3, B = -1, C = 6 (i.e., the function 3x-y + 6 = 0) 23. Make the equation of the line passing through the points M (1, -1) and N (2,1) as a general line equation AX + By + C = 0. A = 2, B = -1, C = -3 (i.e. function 2x-y-3 = 0) 24. Enter the equation of a line parallel to the line y = 2x-1 2 y = 4 x +3 25. Enter the equation of a line perpendicular to the line y = 5x + 3 2 y = -0,4 x +4 26. Rank nonsingular square matrix of order n is N 27. Arithmetic n-dimensional vector is: an ordered set of n numbers #auto
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