'Ax b' presentation slideshows

Special product as identities

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Independence of random variables

Independence of random variables. Definition Random variables X and Y are independent if their joint distribution function factors into the product of their marginal distribution functions Theorem

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Engineering Mathematics Class # 1: Review

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Warm-Up

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Section 4.5

Section 4.5. 2 x 2 Matrices, Determinants, and Inverses. Evaluating Determinants of 2 x 2 Matrices. Definition 1: A square matrix is a matrix with the same number of columns and rows.

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Further Differentiation and Integration

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1.5 Linear Equations and Inequalities

1.5 Linear Equations and Inequalities. Quiz. Tell true or false of the following statement: If c < 0, a < b, then ac > bc . Linear Equation. A linear equation in one variable is an equation that can be written in the form:. a x+b =0, a?0. Linear Equation.

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2.7.6 Conjugate Gradient Method for a Sparse System

2.7.6 Conjugate Gradient Method for a Sparse System. Shi & Bo. What is sparse system.

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8.5 Partial Fractions

8.5 Partial Fractions. Example 1. This would be a lot easier if we could re-write it as two separate terms. Multiply by the common denominator. Set like-terms equal to each other. Solve two equations with two unknowns . This technique is called Partial Fractions.

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Rewriting Formulas

Rewriting Formulas. 7L: rearrange formulas to highlight a quantity of interest.

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7.6B Solving Systems with Inverse Matrices

7.6B Solving Systems with Inverse Matrices. 1. Write Matrix Equation AX=B 2. X= Calculator: By hand: Find inverse of A Any size: Gauss-Jordan 2X2: Formula Multiply inverse of A and B 3. Check solution. Example: Solve with the FORMULA. 1. Matrix Equation:.

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Expressions

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