linear dependence and independence

Solving linear equations - The process of finding the value of the unknown quantity for which the equation is true, is called solving the equation. The value so found is called the root or solution of the equation.The process of finding the value of the unknown quantity for which the equa..

Determine graphically whether the system of equations x = 5 and y = 8 is consistent and dependent, consistent and independent or inconsistent. => consistent and dependent or consistent and independent or cannot be determined or inconsistent..

Graph of Linear Equation in one variable - ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Con..

A function is described by the equation f ( x ) = 2 x + 1. The replacement set for the independent variable is {0, 2, 3, 4}. Which of the following is contained in the corresponding set for the dependent variable? => 9 or 2 or 3 or 15..

A function is described by the equation f ( x ) = x + 1. The replacement set for the independent variable is {1, 3, 5, 7}. Which of the following is not contained in the corresponding set for the dependent variable? => 6 or 10 or 8 or 4..

Which of the following statement(s) is/are true? I. A multiple regression equation with three independent variables x 1 , x 2 and x 3 and one dependent variable would have the form y′ = a + b 1 x 1 + b 2 x 2 + b 3 x 3 . II. A multiple regression equation with two inde..

Determine graphically whether the system of equations 0.5 x - 0.3 y = 1.2 and 1.5 x - 0.9 y = 2.1 is consistent and dependent, consistent and independent or inconsistent. => inconsistent or cannot be determined or consistent and independent or consistent and depen..

Solve system of equations. Determine whether the system is consistent and independent, consistent and dependent, or inconsistent by using augmented matrices. 2 x + 5 y = 11 4 x - 3 y = 9 => (1, 3) or (3, 1) or (- 1, 4) or ( 1 2 , 2)..

Determine graphically whether the system of equations 5 x = - 7 y + 6 and y = - 5 x + 6 7 is consistent and dependent, consistent and independent or inconsistent. => inconsistent or consistent and independent or cannot be determined or consistent and dependent..

State whether the system is consistent and independent, consistent and dependent, or inconsistent using Elimination method. 7 x + y = 8 y - 7 z = 50 8 x + 8 z = - 48 => Cannot be determined or Consistent and dependent or Inconsistent or Consistent and independenth..