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Properties of Determinants 150 150 SchoolTutoring Academy

Properties of Determinants

Every square matrix is associated with a real number which is called the determinant of the square matrix. Let S be the set of all square matrices and R be the set of real numbers. Then the function f:S->R is called the determinant. The determinant of a matrix M is denoted by |M| or detM.…

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Geometry and Shapes: Quadrilaterals 150 150 SchoolTutoring Academy

Geometry and Shapes: Quadrilaterals

The word quadrilateral has come from two Latin words namely quadri (means a four) and latus (means a side). Together a quadrilateral is a polygon with four sides. i.e. it’s a closed figure with 4 sides. A quadrilateral has 4 interior angles which add upto 360 degrees. There are different quadrilaterals which are classified into…

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SAT Focus: Critical Reading Inferences 460 276 School Tutoring

SAT Focus: Critical Reading Inferences

Some of the most difficult questions to answer during the SAT are inference questions, particularly for long reading passages. To begin with, you may be wondering what exactly an inference is. An inference is a conclusion drawn from evidence that is not explicitly stated in the text of the passage, which requires significantly more thought…

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SAT Physics Lesson: Linear Momentum 120 120 School Tutoring

SAT Physics Lesson: Linear Momentum

In classical mechanics, linear momentum, or translational momentum, is simply the product of the mass and the velocity of an object. Like velocity, linear momentum is a vector quantity which means that it possesses magnitude as well as direction. This can be shown by the equation: p = mv Where p is linear momentum, m…

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The Three Cases of Personal Pronouns 150 150 Suzanne

The Three Cases of Personal Pronouns

Pronouns have three cases, which is what indicates how that pronoun is related to the words that it is used with. The three cases are: nominative, possessive, and objective. The nominative case is used when the pronoun is the subject of the sentence. The nominative form pronouns are: I, you, he/she, it, we/they. She was…

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Precision in Language 150 150 Suzanne

Precision in Language

Using the right word is important when trying to be accurate and specific while writing or speaking. Following are some (more) commonly confused words, with examples in usage. Among vs. Between Similar to the rule of ‘both’ and ‘all’ the difference between among and between rests on how many things you are discussing. Among is…

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Retaking the SAT: Is it a Good Idea? 275 183 School Tutoring

Retaking the SAT: Is it a Good Idea?

Writing the SAT Writing the SAT is difficult and stressful, so it is no surprise that many students find that the pressure of writing the exam and the challenging questions lead to a disappointing result. Luckily, the College Board, the organization responsible for running the SAT, allows students to retake the test. Many colleges also…

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SAT Math Jump Start: Understanding Equations 400 267 School Tutoring

SAT Math Jump Start: Understanding Equations

The hardest part of answering a question that involves an equation can sometimes be understanding the equation itself. It’s important to understand what each component of an equation is in order to answer questions based on it. If, for example, you don’t know what is meant by a variable, how are you supposed to solve…

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SAT Math Review: Solving Cubic Polynomials 557 181 School Tutoring

SAT Math Review: Solving Cubic Polynomials

Solving Polynomials can be tricky especially when they are of a higher order. Below I will outline the steps you can take in order to find all factors of a cubic polynomial and how to write out your answers. Step 1: Look at the coefficient of the term without a variable attached to it (or…

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SAT Physics Review: Projecticle Motion 150 133 School Tutoring

SAT Physics Review: Projecticle Motion

Projectile Motion is a type of motion where a particle moves in a nonlinear path (a curved path) under the effects of gravity. The path this particle, called a projectile, follows is called it’s trajectory. Unless stated otherwise, the projectile will always be under the influence of gravity and follow normal physical laws. Solving projectile…

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