WJEC SPECIFICATIONS LINK TO WJEC FP1 PAST PAPERS
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Matrices, equality, multiplication by a scalar, addition and multiplication.
Identity matrices, the determinant of a square matrix, singular matrices.
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The order of matrices will be at most
3 × 3.
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Transpose of a matrix, adjugate matrix, inverse of a non-singular matrix.
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Determinantal condition for the solution of simultaneous equations which have a unique solution.
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Solution of simultaneous equations by reduction to echelon form and by the use of matrices.
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To include equations which
(a) have a unique solution,
(b) have non-unique solutions,
(c) are not consistent.
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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)
Comments (2)
Tara said
at 12:37 am on Aug 20, 2014
On the ROW REDUCTION TO ECHELON FORM page, should the third linear equation in the example be x-y-2z=-6 instead of x-y-2z=-16? I've never done matrices before so I don't know what's right or wrong, but that equation doesn't seem to fit the pattern.
Thanks
Steph Richards said
at 7:13 am on Aug 20, 2014
Quite right sorry!! Well spotted. Thank you for letting me know.
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