Skills Checklist

After completing this chapter you should know......

• What is a matrix?

• How is the order of a matrix defined?

• How are the positions of the elements of a matrix specified?

• How do we use matrices to represent information and solve practical

problems?

• How do we use matrices to represent a network diagram?

• What are the rules for adding and subtracting matrices?

• How do we multiply a matrix by a scalar?

• What is the method for multiplying a matrix by another matrix?

• How do we form and use permutation, communication and dominance

matrices?

• How can your CAS calculator be used to do matrix operations?

Lesson 1 - What is a Matrix (Ex 10a)

Learning Intentions

To be able to….

• state the order of a given matrix.

• describe the location of an element in a matrix.

• determine the transpose of a matrix.

• define and recognise diagonal, symmetric and triangular matrices.

• define and recognise identity matrices.

Tasks

1. Complete the worked solutions to the notes on Ex 10a

Homework

Complete Ex 10a

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Lesson 2 - Using Matrices to represent information (Ex 10b)

Matrix Arithmetic (Ex 10c)

Learning Intentions

To be able to….

• represent data given in a table by a matrix.

• represent a network diagram with a matrix.

• establish when two matrices are equal.

• recognise when matrix addition and subtraction are defined and to

peform these operations.

• undertake scalar multiplication.

• identify zero matrices.

• undertake addition, subtraction and multiplication by a scalar with a

CAS calculator.

• use the operations of addition, subtraction and scalar multiplication of matrices in

practical situations.

Tasks

1. Complete the worked solutions to the notes on Ex 10b and Ex 10c

2. Complete Ex 10b and Ex 10c

Homework

Complete Ex 10b and Ex 10c

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Lesson 3 - Work through Matrices Exercises

Learning Intentions

To be able to….

• Consolidate learning

Tasks

1. Complete all of Ex 10a, 10b and 10c

Homework

Complete Ex 10a, 10b and 10c

Lesson 4 - Matrix Arithmetic: The Product of Two Matrices (Ex 10d)

Learning Intentions

To be able to….

• establish when multiplication of two matrices can be undertaken.

• undertake the multiplication of matrices.

• understand that the order of multiplication of matrices is important.

• apply multiplication of matrices to practical problems.

• use your CAS calculator to undertake multiplication of matrices.

• understand the role of ‘summing matrices’.

• work with calculations involving powers of matrices.

Tasks

1. Complete the worked solutions to the notes on Ch 10d

Homework

Complete Ex 10d

Lesson 5 - Revision Test

Learning Intentions

To be able to….

• provide feedback as to learning so far

Tasks

1. Complete revision task

Homework

Ensure all work is up to date

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Lesson 6 - Matrix Inverse, the determinant and matrix equations

Learning Intentions

To be able to….

• detemine by multiplication when two matrices are inverses.

• determine the determinant of a 2 × 2 matrix.

• determine the inverse of a 2 × 2 matrix.

• use a CAS calculator to determine the inverse and determinant of an

n × n matrix.

• solve simple matrix equations.

Tasks

1. Complete the worked solutions to Ex 10e

Homework

Complete Ex 10e

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Lesson 7 - Binary, Permutation and Communication Matrices

Learning Intentions

To be able to….

• identify and work with binary matrices, permutation matrices and

communication matrices.

Tasks

1. Complete the worked solutions to Ex 10f

Homework

Complete Ex 10f

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Lesson 8 - Matrices Progress Test

Learning Intentions

To be able to….

• give feedback as to progress in this topic

Tasks

1. Complete Matrices Progress Test

Homework

Ensure all work is up to date

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