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Questions and Answers
What aspect does mathematics NOT traditionally deal with?
What aspect does mathematics NOT traditionally deal with?
Which of the following is NOT a benefit of studying mathematics?
Which of the following is NOT a benefit of studying mathematics?
What is one reason provided for why mathematics is considered a universal language?
What is one reason provided for why mathematics is considered a universal language?
Which of the following areas does mathematics NOT impact according to the content?
Which of the following areas does mathematics NOT impact according to the content?
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Why is learning mathematics considered good for your brain?
Why is learning mathematics considered good for your brain?
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Study Notes
Introduction to College Mathematics MAT 100, Lecture 1
- Course title: Introduction to College Mathematics
- Course code: MAT 100
- Instructor: MUSTAQIM MUHIB HAQUE (MQMH)
- Instructor's title: Lecturer
- Department: Economics
What is Mathematics?
- Mathematics is the science of logic, shape, quantity and arrangement.
- It's the fundamental building block for many aspects of daily life.
Why Study Mathematics?
- Use in everyday life
- Understanding the world
- Better problem-solving skills
- Helps with finances
- Makes you a better cook!
- Math is a universal language
Matrices
- A matrix is a rectangular array of numbers (called entries or elements).
- Matrices are denoted by capital letters (e.g., A, B).
- Elements are denoted by corresponding small letters (e.g., aij).
- The size of a matrix is described by the number of rows and columns (e.g., 2x3).
- A matrix with only one row is called a row matrix (or row vector).
- A matrix with only one column is called a column matrix (or column vector).
- A matrix with the same number of rows and columns is called a square matrix.
Matrix Notation (General m x n Matrix)
- A general m x n matrix is written as: a11, a12, ..., a1n; a21, a22..., a2n; .... am1, am2, ...,amn.
- The entry in row i and column j is denoted by aij or (A)ij.
- For example: A = [aij]mxn
- A11 = 2, A12 = 7, A21 = 3, A22 = -3 (Given for example)
Adding Matrices
- To add two matrices, add the numbers in the corresponding positions.
- Matrices to be added must be the same size.
Subtracting Matrices
- To subtract two matrices, subtract the numbers in the corresponding positions.
- Matrices to be subtracted must be the same size.
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Description
Explore the essential concepts of mathematics in this introductory lecture for MAT 100. Understand the significance of mathematics in everyday life, including its applications in problem-solving and finance. Delve into the basics of matrices and their characteristics.
