Page 143 - Touhpad Ai

AT A GLANCE
A matrix (plural matrices) is a rectangular arrangement of numbers. The numbers are arranged in tabular
form as rows and columns.
A matrix having m rows and n columns is called a matrix of order m × n.

Matrices are used throughout the field of machine learning.
Vectors are the basis of linear algebra. Vectors are used in the training of machine learning algorithms.
A vector is defined as a list of numbers in one-dimensional form.
A set is an unordered collection of objects, known as elements or members of the set.
A database is a collection of data.

Relational algebra consists of eight operators: Selection, Projection, Join, Intersection, Union, Difference,
Cartesian Product, and Division.
A JOIN is used to combine rows from two or more tables.
The mean is the average of all the values in a group of numbers.
The median is the middle value in a given list of numbers arranged in ascending or descending order.

The mode is the value that appears most often in a given list of numbers.
Variance measures the distance of each number in the data set from the mean.
Standard deviation is a statistic that measures the degree of dispersion of a data set relative to its average.

EXERCISE

Solved Questions
SECTION A (Objective Type Questions)
AI QUIZ
A. Tick (ü) the correct option.
1. Which one of the following is a rectangular arrangement of numbers?
a. Sets b. Matrix

c. Vector d. Scalar

2. What measure of central tendency is calculated by adding all the values and dividing the sum by the number of
values?
a. Median b. Mean
c. Mode d. Typical value

3. Which among the following is an unordered collection of objects?
a. Matrix b. Vector
c. Determinant d. Set

Mathematics for AI 141