linear dependence of vectors

On what does a vector quantity depend? => momentum and isolation of a vector or isolation of vector or momentum of vector or distance and direction..

> If the scales selected for the representation of three vectors are the same, then, three equal vectors are represented by three arrows of equal lengths, pointing in the same direction. If, however, the scales chosen are different, then, it is possible to represent equal v..

Temperature Dependence of Resistivity - The resistivity of a metallic conductor nearly always increases with increasing temperature. As temperature increases, the ions of the conductor vibrate with greater amplitude, making it more likely that a moving electron will collide with an ion. T..

> The first case, that is, multiplication of a vector by a scalar has been dealt with in the section; multiplication of vectors by real numbers. Hence, we move on to the second case, that is, multiplication of two vectors in such a way as to yield a scalar. Such an ope..

Types of linear systems Gauss-Jordan elimination, Gauss-Jordan method Vectors and vector addition Geometrical solution sets of systems of equations Rectangular matrices to row echelon form Matrix multiplication Inverse to a square matrix Determinants of 2 by 2..

There is a linear relationship between the dependent variable and the independent variables. This is called the ________ assumption. The independent variables are not correlated. This is called the _______ assumption. => nonmulticolinearity, linearity or linearity..

Different forms of numbers Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms Properties of numbers Estimation of solutions Sequences and series Proportionality/direct variation, exponential/fractional expressions Patterns, relations and functions ..

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 equation is true, is called solving the e..

For any specific value of the independent variable, the values of the dependent variable y are normally distributed. This is called the __________ assumption. => independence or linearity or equal - variance or normality..

The average rate of change of a linear function f ( x ) = 4 α x + β over [4, 5] => depends on α or depends on the values of α , β or depends on β or depends on either α or β..