Matrix e services

Detailed Amazon BCG Matrix Analysis 1. Introduction The Boston Consulting Group (BCG) growth-share matrix is a graphical planning tool for a company's products, services and stand alone business units to assess their standing and growth chances in the market. The basic purpose of a BCG matrix is to determine which units require investment for further expansion and growth and which units are self sufficient or not worthy of investments. The BCG matrix has market growth rate at the y-axis and market share at the x-axis. Let us analyze the BCG matrix of Amazon to understand the scenario better. 2. Background of Amazon Amazon was founded in 1994 by Jeff Bezos based in Seattle. Amazon was first launched as an online bookstore but the business model was so appreciated that gradually it moved on to become the world’s largest e-commerce store with a huge variety of products. It deals in books, music, films, household products, furniture, digital products, gadgets, garments and what not. Amazon has another business unit that deals with Amazon's digital service like Cloud and AWS etc. 3. Amazon BCG Matrix The BCG matrix of Amazon com helps us understand the current position of different products and services in the Amazon business model and we can also see the business level strategies for its business units. A BCG matrix is categorized into four types of products based on the market share and growth potential. These four types are dogs, stars, cash cows and question marks. Source: EdrawMax Online 3.1.

2j )+ . . . +(H iN ⁇ D Nj ) for 1 ⁇ i ⁇ M and 1 ⁇ j ⁇ L. Such an encoding matrix E is also referred to as an information dispersal matrix (IDM). IDM information dispersal matrix matrices such as check drive encoding matrix H and identity matrix I N also represent encoding matrices, in that they represent matrices of factors to produce linear combinations over GF arithmetic of the original data. the identity matrix I N is trivial and may not need to be constructed as part of the IDM E. Only the encoding matrix E, however, will be referred to as the IDM. Methods of building an encoding matrix such as IDM E or check drive encoding matrix H are discussed below. the original data in turn, can be represented by an N ⁇ L matrix D of bytes, each of the N rows representing the L bytes of a block of the corresponding one of the N data drives. If C represents the corresponding (N+M) ⁇ L matrix of encoded bytes (where each of the N+M rows corresponds to one of the N+M data and check drives), then C can be represented as the first row of the check drive encoding matrix H (or the (N+1) th row of the IDM E) can be all 1's, representing the parity drive. the GF multiplication can be bypassed and replaced with a GF sum of the corresponding bytes since the products are all trivial

Powers of a Matrix A^{n}, is defined as n copies of matrix A. Example A = \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) A^{2} = \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) A^{3} = \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) A^{4} = \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) \left(\begin{matrix} 5 & 2 \\ 3 & 1 \end{matrix}\right) Determinant of a Matrix |A| is a used to symbolize the determinant of matrix A. Only a square matrix can have a determinant. Finding the determinant 2×2 Matrix A = \left(\begin{matrix} a & b \\ c & d \end{matrix}\right) |A| = ad-bc Example A = \left(\begin{matrix} 5 & 3 \\ 2 & 8 \end{matrix}\right) |A| = (5)(8)-(3)(2) = 34 3×3 Matrix A = \left(\begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix}\right) |A| = a(ei - fh) - b(di-fg) + c(dh-eg) The image below shows how this formula is calculated. Example A = \left(\begin{matrix} 5 & 3 & 4 \\ 7 & 2 & 6 \\ 2 & 1 & 9 \end{matrix}\right) |A| = 5((2)(9)-(6)(1)) - 3((7)(9)-(6)(2)) + 4((7)(1)-(2)(2)) = -81 4×4 Matrix A = \left(\begin{matrix} a & b & c & d \\ e & f & g & h \\ i & j & k & l \\ m & n & o & p \end{matrix}\right) |A| = a \left|\begin{matrix} f & g & h \\ j & k & l \\ n & o & p \end{matrix}\right| - b \left|\begin{matrix} e & g & h \\ i & k & l \\ m & o & p \end{matrix}\right| + c \left|\begin{matrix} e & f & h \\ i & j & l \\ m & n & p \end{matrix}\right| - d \left|\begin{matrix} e & f & g \\ i & j & k \\ m & n & o \end{matrix}\right| Inverse of a Matrix The inverse of a matrix A is a matrix A^{-1} such that AA^{-1}=I . I is the identity matrix. Please Note 1. Only square matrices can have an inverse. 2. If the determinant of a matrix is 0, that matrix has no inverse. Finding the Inverse of a Matrix One method of finding the inverse is to use Gauss-Jordan elimination to transform [A|I] to [I|A^{-1}] Example A = \left(\begin{matrix} 8 & 5 \\ 6 & 4 \end{matrix}\right) Find inverse of A. \left[ \begin{array}{cc|cc} 8 & 5 & 1 & 0 \\ 6 & 4 & 0 & 1 \end{array} \right] R_{1} \rightarrow \frac{1}{8}R_{1} \left[ \begin{array}{cc|cc} 1 & \frac{5}{8} & \frac{1}{8} & 0 \\ 6 & 4 & 0 & 1 \end{array} \right] R_{2} \rightarrow R_{2}- 6R_{1} \left[ \begin{array}{cc|cc} 1 & \frac{5}{8}

Skip to content Description What are Dot Matrix Marking Services? A Dot Matrix is a simple grid pattern of dots used to create a number or letter as one would see on an old score board or an old computer screen. The key to legibility and definition is the density of dots. However, density can present problems in Low Stress Marking applications. The key to maintaining Low Stress while sustaining legibility is by balancing dot frequency with character size. Advantages Pros of Dot Matrix Marking Services Very legible marks in clear fonts to eliminate confusion in marked textVery little pressure is applied on the part. Too much pressure on a metal part could result in a “stress riser” or a concentration of stress that could lead to cracking. Dot Matrix Marking reduces this risk Features Features of Dot Matrix Marking Services Capability to produce a Dot Matrix Mark via multiple marking methods: Laser Etching, Rotary Engraving, Vibro Peening, or Electrochemical EtchingAbility to mark flats, rounds and irregular shaped partsShallow Marking Depths (under 0.003” deep)Can mark parts up to 24” x 48”Typical marks include: Serial Numbers, Part Numbers, Cage Codes, Manufacturing Numbers, and Date Codesi. Common Part Marking Specifications for Dot Matrix Marking include Spec SAE AS478, Spec MIL-STD-130, Boeing Spec BAC5307, Parker Aerospace Spec BPS 4106, General Electric Spec P23TF3, & Sikorsky Spec SS8798 Dot Matrix Marking Services Dot Matrix Marking Need to discuss your custom part marking job? Complete our simple Request For Quotation form and a Sales Professional