Matrix

In mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. The individual items in a matrix are called its elements or entries. An example of a matrix with 2 rows and 3 columns isMatrices of the same size can be added or subtracted element by element. The rule for matrix multiplication...

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Determinant

The determinant det(A) or |A| of a square matrix A is a number encoding certain properties of the matrix. A matrix is invertible if and only if its determinant is nonzero. Its absolute value equals the area (in R2) or volume (in R3) of the image of the unit square (or cube), while its sign corresponds to the orientation of the corresponding linear...

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Graham's number

Graham's number , named after Ronald Graham, is a large number often described as the largest finite number that has ever been seriously used in a mathematical proof. Guinness World Records even listed Graham's number as the World Champion largest number. Graham's number is much larger than other well known large numbers such as a googol and a googolplex,...

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Two-Step Equations

Two-Step Equations Solve a Two-Step Equation We’ve seen how to solve for an unknown by isolating it on one side of an equation and then evaluating the other side. Now we’ll see how to solve equations where the variable takes more than one step to isolate. Example 1 Rebecca has three bags containing the same number of marbles, plus two marbles...

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Solving Equations Using Multiplication and Division

 Solving Equations Using Multiplication and Division Suppose you are selling pizza for $1.50 a slice and you can get eight slices out of a single pizza. How much money do you get for a single pizza? It shouldn’t take you long to figure out that you get . You solved this problem by multiplying. Here’s how to do the same thing algebraically,...

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Solving Equations Using Addition and Subtraction

    Solving Equations Using Addition and Subtraction When we work with an algebraic equation, it’s important to remember that the two sides have to stay equal for the equation to stay true. We can change the equation around however we want, but whatever we do to one side of the equation, we have to do to the other side. In the introduction...

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