
Explore what matrices are, how to represent data as rectangles with rows and columns, understand matrix order (rows by columns), elements, and the criteria for equality.
Explore matrix multiplication by determining feasible orders and calculating BA and BC, with A as 2 by 1, B as 2 by 2, and C as 2 by 3.
Practice multiplying matrices of sizes 2x2 and 2x1, 1x2 and 2x3, and identify when dimensions prevent multiplication, while applying brackets, inner dimension rules, and resulting orders.
Multiply matrices to find unknowns, use 1x3 by 3x1 and 1x2 by 2x2 products, and solve for a, P, Q (a = -2, P = 10, Q = 3).
Compute the inverse of a 2x2 matrix. Swap a and d, negate b and c, then multiply by one over the determinant (ad − bc) when the determinant is nonzero.
solve simultaneous equations via the matrix method in practice question five by computing the inverse of the coefficient matrix and its determinant to find x and y.
High School Add Math (IGCSE) - Matrices
Welcome! This is the 2nd Part out of a series of crash courses that are designed to help students prepare themselves for High School Additional Mathematics.
This course is meant for:
- Those who want to learn high school math and Ace their yearly examinations
- Parents who may want to help teach their children
- Those who just want to brush up on their math skills
Students should have some basic math skills. I would recommend at least having completed grade 9 Math so that you can understand the concepts better.
In this course we will learn:
- What is a Matric?
- What is the order of a Matric
- Finding the values of variables in the Matrix
- Addition and Subtraction of Matrices
- Scalar Multiplication of Matrices
- Multiplication of Matrices
- Practice Questions on Multiplication
- Determinant & Inverse Matrices
- Practice Questions on Determinant & Inverse
- Solving Simultaneous Equations by the Matrix Method
I urge students to practice hands on with me during the course so that they can take the most out of this course. Students can ask me questions and I will keep answering quickly.
You may also take a look at the vast knowledge in the questions and answers section. You will note that many times students ask very important questions that you may have overlooked.
Upon completion of this course you may take the remaining courses in this series. In this Series i will be covering a vast variety of topics (in the other crash courses) included in the IGCSE syllabus such as:
1) Simultaneous Equations
2) Matrices
3) Indices, Surds & Logarithms
4) Quadratic Expressions & Equations
5) Remainder & Factor Theorems
6) Linear Law
7) Functions
8) Trigonometric Functions
9) Trigonometric Identities & Equations
10) Circular Measure
11) Permutations & Combinations
12) Binomial Theorem
13) Differenciation
14) Rates of Change
15) Higher Derivatives and Applications
16) Integration
17) Applications of Integration
18) Kinematics
19) Vectors
20) Relative Velocity