Damath Introduction: Damath comes from the Pinoys checker board game called “dama” and Mathematics. It blends local culture‚ education and digital technology that aim to make math teaching and learning child-friendly‚ challenging and interactive. DAMATH‚ a patent-pending mathematical board-game invented by five-time national awardees Jesus L. Huenda‚ is coined from the popular Filipino checkerboard game of dama‚ (or lady in Spanish) and mathematics. It started in a Sorsogon National High School
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method are briefly discussed. 1 Introduction Eigenvalues and eigenvectors play an important part in the applications of linear algebra. The naive method of finding the eigenvalues of a matrix involves finding the roots of the characteristic polynomial of the matrix. In industrial sized matrices‚ however‚ this method is not feasible‚ and the eigenvalues must be obtained by other means. Fortunately‚ there exist several other techniques for finding eigenvalues and eigenvectors of a matrix‚ some of
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MCI 1334I MARINE CORPS INSTITUTE MATH FOR MARINES MARINE BARRACKS WASHINGTON‚ DC UNITED STATES MARINE CORPS MARINE CORPS INSTITUTE 912 CHARLES POOR STREET SE WASHINGTON NAVY YARD DC 20391-5680 IN REPLY REFER TO: 1550 5 Jan 2012 From: Director To: Marine Corps Institute Student Subj: MATH FOR MARINES (MCI 1334I) 1. Purpose. The subject course provides instruction on basic mathematics. 2. Scope. This course instructs and reviews a Marine’s knowledge of basic mathematics. It covers a brief
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MCI 1334I MARINE CORPS INSTITUTE MATH FOR MARINES MARINE BARRACKS WASHINGTON‚ DC UNITED STATES MARINE CORPS MARINE CORPS INSTITUTE 912 CHARLES POOR STREET SE WASHINGTON NAVY YARD DC 20391-5680 IN REPLY REFER TO: 1550 5 Jan 2012 From: Director To: Marine Corps Institute Student Subj: MATH FOR MARINES (MCI 1334I) 1. Purpose. The subject course provides instruction on basic mathematics. 2. Scope. This course instructs and reviews a Marine’s knowledge of basic mathematics. It
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Algebra/Trig Review Introduction This review was originally written for my Calculus I class but it should be accessible to anyone needing a review in some basic algebra and trig topics. The review contains the occasional comment about how a topic will/can be used in a calculus class. If you aren’t in a calculus class you can ignore these comments. I don’t cover all the topics that you would see in a typical Algebra or Trig class‚ I’ve mostly covered those that I feel would be most useful for
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get c 1 b c 1b 1c EXAMPLE 1 (a) 3xy 4x 3 4 x 2y 12x 2y (b) 2t 7x 2tx 11 14tx 4t 2x 22t (c) 4 3 x 2 4 3x 6 10 3x If we use the Distributive Law three times‚ we get a b c d a bc a bd ac bc ad bd This says that we multiply two factors by multiplying each term in one factor by each term in the other factor and adding the products. Schematically‚ we have a In the case where c or 1 b c d a and d a b b‚ we have 2 a2 ba ab b2 a b 2 a2 2ab b2 Similarly
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Therefore all eigenvectors are actually the roots of the monic polynomial det(xI −T ) in K. This polynomial is called the characteristic polynomial of T and is denoted by cT (x). Since the degree of cT (x) is n‚ the dimension of V‚ T cannot have more than n eigenvalues counted with multiplicities. If A ∈ K n×n ‚ then A can be regarded as a linear mapping from K n to itself‚ and so the polynomial cA (x) = det(xIn − A) is the characteristic polynomial of the matrix A‚ and its roots in K are the eigenvalues
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Find a quadratic polynomial‚ the sum and product of whose zeroes are 0 and √5 respectively. 2. Find the quadratic polynomial‚ the sum and product of whose zeroes are 4 and 1‚ respectively 3. If a and b are the zeros of the quadratic polynomial f(x)= x2-5x+4‚ find the value of 1/a + 1/b-2a b 4. Find the zeroes of the quadratic polynomial 4√3 x2+ 5 x - 2 √3 and verify the relationship between the zeroes and the coefficients. 5. Find the zeroes of the quadratic polynomial 4u2+ 8u and verify
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Mathematics Term 3 Week 5 Week 5 (May 11 – 15) AMS : 07926 Sample Questions Exam 1. Give the degree of each polynomial. (a) 2x3 6x + x5 (b) 3x 1 (c) 6x 5x2 2 2. Rearrange the following polynomials in order of decreasing degree in y. a) 16 x3 y 2 y3 xy 2 5xy 4 : _______________________ b) 3x3 x x6 1 : _______________________ 3. Rearrange the following polynomials in order of increasing degree in x 3 7 3 2 2 a) x 7x + x : ________________________ b)
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------------------------------------------------- Polynomial long division From Wikipedia‚ the free encyclopedia In algebra‚ polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree‚ a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand‚ because it separates an otherwise complex division problem into smaller ones. Sometimes using a shorthand version called synthetic division is
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