CAMBRIDGE COLLEGE LIMA
IGCSE MATHS IVF
EXTENDED PROGRAMME
Matrices
Worksheet 1
Name:
Set:
Reference:
- Topic 32 in Curriculum
Content document
- Extended Mathematics for
IGCSE Pages 83 - 89
By the end of this worksheet you should be able to:
a. Understand what is meant by an element of a
matrix.
b. Understand what is meant by the order of a
matrix.
c. Add two matrices of the same order.
d. Multiply a given matrix by a scalar.
e. Understand a practical use of multiplying a
matrix by another matrix.
f. Predict whether two matrices can be
multiplied together by considering their
respective order and determine the order of
their product.
g. Re-write matrix multiplication in the
appropriate form and carry out two matrix
multiplication for matrices of varying orders.
Multiplication of two matrices
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GreGregori
Multiplication of two matrices
Two matrices can only be multiplied together if the number of columns in the first matrix is equal to
the number of rows in the second matrix.
If the order of the first matrix is a x b and the order of the second matrix is b x c then the order of
the resulting matrix is a x c.
a. Write under each matrix its order;
b. decide whether the two matrices can be multiplied together;
c. and if they can, decide the order of the resulting matrix;
d. and if they can, perform the multiplication.
1.
2.
2
8
6
4
1
3
1
6
2
9
7
4
3
4
3.
5
2
8
6
4.
5
2
3
1
0
8
6
-2
4
6
7
2
-1
1
6
7
4
4
-1
2
3
4
3
6
-4
5.
6.
4
7
7
3
4
3
9
5
2
1
1
0
0
1
0
1
1
0