Further Maths (WJEC)

 

FP1 MATRIX ALGEBRA

Page history last edited by Steph Richards 1 mo ago

WJEC SPECIFICATIONS                    LINK TO WJEC FP1 PAST PAPERS

 

4.


 


 

Matrices, equality, multiplication by a scalar, addition and multiplication.

 Identity matrices, the determinant of a square matrix, singular matrices.

The order of matrices will be at most

3 × 3.
 
 
 

 

Transpose of a matrix, adjugate matrix, inverse of a non-singular matrix.


 

 
 
 

 

Determinantal condition for the solution of simultaneous equations which have a unique solution.

 

 
 
 

 


 

Solution of simultaneous equations by reduction to echelon form and by the use of matrices.


 

To include equations which

(a) have a unique solution,

(b) have non-unique solutions,

(c) are not consistent.
 

 

 We begin our study of MATRICES with some definitions.

 

CLICK ON THE LINK FOR A PRESENTATION ON BASIC VOCABULARY OF MATRICES.

 

TRY A QUIZ ON INTRODUCTION TO MATRICES

THE IDENTITY MATRIX

This Youtube video introduces the Identity matrix and

INVERSE of a 2X2 matrix.

 

We next CLICK TO LEARN HOW TO MULTIPLY MATRICES

 

Learn more about MULTIPLICATION of 2 by 2 and 3 by 3 Matrices

 

Learn about THE DETERMINANT and EVEN MORE DETERMINANTS

 

Finding the INVERSE MATRIX using the DETERMINANT and ADJOINT MATRIX

 

WJEC PAST PAPER QUESTIONS ON FINDING THE INVERSE MATRIX AND

SOLUTION OF SIMULTANEOUS EQUATIONS.

 

We can also solve a system of simultaneous equations by ROW REDUCTION TO ECHELON FORM. This is particularly useful when the matrix is SINGULAR and we can not find an INVERSE matrix as a result. In this case we use a system of ROW OPERATIONS sometimes refered to as GAUSIAN ELIMINATION.

 

PAST PAPER QUESTIONS on ROW REDUCTION and GENERAL SOLUTIONS. 

 

BEYOND A LEVEL!!

If you are interested here is a Link to MITOPENCOURSEWARE from Massachusetts Institute of Technology

Videos and lecture Transcripts for a whole Linear Algebra course (including Matrices)

 

 

 

 

 

 

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