A function is a rule that assigns each input exactly one output. It maps elements from a domain to a codomain. Functions are represented as f(x), where x is the input. Examples include linear, quadratic and trigonometric functions, such as ...
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Continuity and Differentiability are fundamental concepts in calculus. Continuity ensures a function has no breaks or jumps, making it smooth. Differentiability means a function has a defined derivative, allowing for tangent calculations. A differentiable function is always continuous but not ...
An integer is a whole number that can be positive, negative, or zero, without fractions or decimals. It includes numbers like -3, 0, 7, and 42. Integers are used in counting, ordering, and algebra. They follow arithmetic operations and are ...
A matrix is a rectangular arrangement of numbers in rows and columns. It is used to represent data or solve mathematical problems. Matrices are fundamental in linear algebra with operations such as addition multiplication and inversion. They have applications in ...
Elements in a matrix refer to the individual numbers or entries arranged in rows and columns. Each element is identified by its position denoted as aᵢⱼ where i represents the row number and j represents the column number. These elements ...