Solving simple linear equations and working with basic algebraic expressions. Widely used in mathematics, physics, engineering, and everyday life for solving simple mathematical problems and understa…

in algebra, combining like terms is the process of simplifying an expression by combining terms that have the same variables and exponents. For example, in the expression 3x + 2y + 5x - 4y, the like …

A method of calculating interest on a loan or investment based only on the original principal amount, without taking into account any compounding or additional interest over time. Calculated as the p…

Compound interest is the amount of interest calculated on the initial principal amount, as well as on the accumulated interest from previous periods. It is calculated based on the compound interest f…

A mathematical concept that represents the point that is equidistant from two given points in a Cartesian coordinate system. Calculated as the average of the x-coordinates and the y-coordinates of th…

The distance between two points in a two-dimensional coordinate system can be calculated using the distance formula, also known as the Euclidean distance. The distance formula is given by: d = sqrt((…

Mathematical equations that describe a linear relationship between two or more variables, typically in the form of y = mx + b, where m represents the slope, b represents the y-intercept, and x and y …

A collection of two or more equations with multiple unknown variables that are solved together to find the values of the unknowns that satisfy all the equations simultaneously. Can be linear or nonli…

A polynomial equation of the second degree in a single variable, typically in the form ax^2 + bx + c = 0, where a, b, and c are coefficients and x is the unknown variable. Can be solved using various…

A scalar value calculated from a 2x2 matrix, obtained by multiplying the elements of the main diagonal and subtracting the product of the off-diagonal elements. Provides information about the matrix'…

A mathematical operation that multiplies an integer scalar value with a 2x2 matrix, resulting in a new matrix where each element is multiplied by the scalar value. Used in linear algebra, graphics, a…

A mathematical operation that combines two matrices to produce a third matrix. Involves multiplying the elements of the rows of the first matrix with the corresponding elements of the columns of the …

The point at which two lines in a Cartesian coordinate system meet or cross each other, representing the solution to a system of two linear equations in two variables.

A mathematical operation that finds the inverse of a matrix, which is a matrix that, when multiplied with the original matrix, results in the identity matrix.

A mathematical operation that involves multiplying two complex numbers, which are numbers that consist of both a real part and an imaginary part. Involves applying the distributive property and the r…

Complex quadratic refers to quadratic equations with complex (non-real) solutions. A quadratic equation is an equation of the form ax^2 + bx + c = 0, where a, b, and c are constants. When the discrim…

A mathematical operation that calculates the scalar product of two vectors by multiplying their corresponding components and summing the results. Also known as the inner product or scalar product, th…

A mathematical operation that calculates a vector that is perpendicular to the plane formed by two given vectors in three-dimensional space. The magnitude of the cross product is equal to the product…

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