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The Identity Matrix

"When dealing with matrix computation, it is important to understand the identity matrix. We can think of the identity matrix as the multiplicative identity of square matrices, or the one of square ma ...

Rational Exponents with Negative Coefficients

"A negative coefficient of a term with a rational exponent can mean that we either (1) apply the rational exponent and then take the opposite of the result, or (2) the rational exponent applies to a n ...

Polygons

"Polygons are closed plane figures formed by three or more line segments. If a figure is open or curved, it cannot be considered a polygon. Concave polygons have at least one diagonal that does not ...

Slope-Intercept Form of a Line

"Slope-intercept form of a line is a general formula for the equation of a line. Using the slope-intercept form of a line helps in finding the slope of a line from an equation and the intercept direc ...

Math Converse

"Conjectures are statements that use an if, then structure and are commonly presented throughout Geometry (for example, if a triangle has two congruent base angles, then that triangle is isosceles). T ...

Solving Exponential Equations

"In the real world we often hear terms like exponential growth or exponential decay, when discussing solving exponential equations such as those used in compounding interest problems. In order to unde ...

Solving Rational Equations with Unlike Denominators

"When solving rational equations with unlike denominators, the first step is to factor the denominators and look for a common denominator. Next, we multiply both sides of the equation by the common d ...

Simplifying Determinants

"Finding the determinant of a 3x3 square matrix or a larger square matrix can involve a lot of computation. To reduce the amount of computation, we can use methods for simplifying determinants. These ...

Rate Word Problems

"To solve rate word problems, knowledge of solving systems of equations is necessary. Rate word problems include problems dealing with rates, distances, time and wind or water current. Other types of ...

Solving Proportions

"Solving proportions is a crucial skill when studying similar polygons. The ratio of corresponding side lengths between similar polygons are equal and two equivalent ratios are a proportion. For solvi ...

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