MATHEMATICS NOTESSecondary Notes

# Matrices Mathematics Form 3 Notes and K.C.S.E Topical Q&A

## Matrices Mathematics Form 3 Notes and K.C.S.E Topical Q&A

## Matrices Mathematics Form 3 Notes and K.C.S.E Topical Q&A

Matrices Mathematics Form 3 Notes and K.C.S.E Topical Q&A

## Introduction

- A matrix is a rectangular arrangement of numbers in rows and columns.
- For instance, matrix A below has two rows and three columns. The dimensions of this matrix are 2 x 3 (read “2 by 3”).
- The numbers in a matrix are its entries. In matrix A, the entry in the second row and third column is 5.
- Some matrices (the plural of matrix) have special names because of their dimensions or entries.

## Order of Matrix

- Matrix consist of rows and columns. Rows are the horizontal arrangement while columns are the vertical arrangement.
- Order of matrix is being determined by the number of rows and columns. The order is given by stating the number of rows followed by columns.

**Note;**

- If the number of rows is m and the number of columns n, the matrix is of order m×n.

E.g. If a matrix has m rows and n columns, it is said to be order m×n.

## Elements of Matrix

- The element of a matrix is each number or letter in the matrix. Each element is locating by stating its position in the row and the column.
- For example, given the 3 x 4 matrix

- The element 1 is in the third row and first column.
- The element 6 is in the first row and forth column.

**Note;**

- A matrix in which the number of rows is equal to the number of columns is called a
**square matrix**.

- [ a
_{1}, a_{2}…. a_{n}] Is called a row matrix or row vector.

- [−2 −3 −4] is a row vector of order 1 × 3.
- Two or more matrices re equal if they are of the same order and their corresponding elements are equal.
- Thus, if then, a = 3, b = 4 and d = 5.

## Addition and Subtraction of Matrices

- Matrices can be added or subtracted if they are of the same order. The sum of two or more matrices is obtained by adding corresponding elements. Subtraction is also done in the same way.

**Example**

- A + B
- A – B

**Solution**

**Example
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