Applications of Linear Algebra

Linear algebra and electricity of a car

2011-05-22T23:04:00.002+04:00

The diagram below shows some of a car's electrical network. The battery is on the left, drawn as stacked line segments. The wires are drawn as lines, shown straight and with sharp right angles for neatness. Each light is a circle enclosing a loop. The designer of such a network needs to answer questions like: How much electricity flows when both the hi-beam headlights and the brake lights are

THE $25,000,000,000 EIGENVECTOR THE LINEAR ALGEBRA BEHIND GOOGLE

2011-05-22T01:31:00.011+04:00

BOILER WATER SOFTENER SYSTEM Matrix provided the civil, structural, mechanical, electrical and controls engineering for a water softener system supplying the boilers at the Nashville, Tennessee facility. The system consisted of a packaged softener system and two brine

2011-05-09T20:04:00.001+04:00

Since a 2 x 2 matrix corresponds uniquely to a linear transformation from R2 to R2, we can think of a matrix as transforming a planar figure into a new planar figure. ExampleConsider the matrix and the triangle with vertices (0,0), (12), (5,3). We have It is a property of linear transformations that if the matrix is nonsingular, then line segments map onto line segments. Hence

Mirroring a point on a 3D plane

2011-05-09T19:19:00.014+04:00

ContextConsider the plane in three dimensional space defined by a point and a normal vector : Mirroring a point Mirroring a point with this plane is very straightforward.We calculate the distance from the point to the plane (covered in plane equation in 3D ) and then we use this distance and the calculated normal toget the point pm. The

2011-05-07T17:56:00.002+04:00

4. Matrix Operations in Excel.Matrix Manipulations: Vectors, Matrices, and Arrays. How Excel HandlesMatrix Math. Basic Matrix Operations. Solving Systems of Linear Equations.Matrix Manipulations: Vectors, Matrices, and Arrays.In this section we consider the topic of Vectors, Matrices and Arrays andtheir application in solving Linear Equations and other linear algebraproblems.Simultaneous linear

Matrix in Piezoelectricity

2011-05-07T16:24:00.010+04:00

Piezoelectricity is the combined effect of the electrical behavior of the material:where D is the electric charge density displacement(electric displacement), the epsilon is permittivity and E is electric field strength, andHooke's Law: where S is strain, s is compliance and T is stress.These may be combined into so called coupled equations, of which the strain-charge form is: where [d] is the

Matrices of String Input

2011-05-06T16:09:00.002+04:00

Enter MATLAB strings surrounded by single quotes ('string').Strings are stored as character arrays, one ASCII character per element. Thus, the date stringDateString = '9/16/2001'is actually a 1-by-9 vector. Strings making up the rows of a matrix or vector all must have the same length. To enter several date strings, therefore, use a column vector and be sure all strings are the same length. Fill