Matrix Worksheet 7
... Note that aij is used to denote the element which appears at the ith row and jth column of the matrix. The identity matrix and null matrix are represented as I and O respectively. Skill Check 1: 1. In May, Suzanne bought 32 styrofoam balls and decorated them as toy figurines. In June, she sold 12 fi ...
... Note that aij is used to denote the element which appears at the ith row and jth column of the matrix. The identity matrix and null matrix are represented as I and O respectively. Skill Check 1: 1. In May, Suzanne bought 32 styrofoam balls and decorated them as toy figurines. In June, she sold 12 fi ...
VECTOR ANALYSIS
... Quantities such as time, mass, distance, temperature, entropy, electric potential, and population are scalars. A vector is a quantity that has both magnitude and direction. Vector quantities include velocity, force, displacement, and electric field intensity. Another class of physical quantities is ...
... Quantities such as time, mass, distance, temperature, entropy, electric potential, and population are scalars. A vector is a quantity that has both magnitude and direction. Vector quantities include velocity, force, displacement, and electric field intensity. Another class of physical quantities is ...
relativistic stern-gerlach deflection
... here as a function F(E, ·) of the electric field vector, irrespective of the fact that it depends also on the components of B which, if present at all, are subsidiary and are represented only by a dot in the argument list. This notation favors reference frames in which the magnetic field actually va ...
... here as a function F(E, ·) of the electric field vector, irrespective of the fact that it depends also on the components of B which, if present at all, are subsidiary and are represented only by a dot in the argument list. This notation favors reference frames in which the magnetic field actually va ...
Linear spaces and linear maps Linear algebra is about linear
... Eg: The map c:V-->V multiplication by a scalar c, has diagonal matrix c.I in any basis. Thus every basis is an eigenbasis for the identity map. Eg. The map f:R2-->R2 sending (1,0) to (1,0) and (0,1) to (0,2) has diagonal matrix with columns (1,0) and (0,2) in the standard basis, i.e. the standard b ...
... Eg: The map c:V-->V multiplication by a scalar c, has diagonal matrix c.I in any basis. Thus every basis is an eigenbasis for the identity map. Eg. The map f:R2-->R2 sending (1,0) to (1,0) and (0,1) to (0,2) has diagonal matrix with columns (1,0) and (0,2) in the standard basis, i.e. the standard b ...
The Inverse of a Matrix
... n m (where m n), the products AB and BA are of different orders and so cannot be equal to each other. Not all square matrices have inverses. If, however, a matrix does have an inverse, that inverse is unique. Example 2 shows how to use a system of equations to find the inverse of a matrix. ...
... n m (where m n), the products AB and BA are of different orders and so cannot be equal to each other. Not all square matrices have inverses. If, however, a matrix does have an inverse, that inverse is unique. Example 2 shows how to use a system of equations to find the inverse of a matrix. ...
PHYS 102 General Physics II – Midterm II
... Write neatly and clearly; unreadable answers will not be given any credit. ...
... Write neatly and clearly; unreadable answers will not be given any credit. ...