Page 103 - ADVANCED MATH F.5

Form Five Form Five

3. (a) 3 − 9 − 5 (b)  15 − 3 − 21

 4 1 3   − 6 − 18 2 
 −   
   − 30 6 10 
 − 5 4 1   
FOR ONLINE READING ONLY
4
4. (a) 212− (b) 25 9. (a) m = (b) r = − 10
10. (a) 17 2 −  6 (b) 144

 − 4 4 6 
 
 26 9 
 − 

Solution of systems of linear simultaneous equations by Cramer’s
rule
Teaching steps

1. Create an activity which will engage students in groups to
discuss and present the system of linear simultaneous equations
involving a 33× matrix of the form:
x
 a 11 a 12 a    d 
1
13
 a a a    d 
y =
 21 22 23    2 
 a a a    d 
z
 31 32 33    3 
2. Design activities that will engage students in determining the
unknown values of , , andx y z using Cramer’s rule. Lead the
discussion using the formulae:
A A A
x = x , y = y , and z = z where A is the determinant
A A A
of the coefficient matrix.

3. Use Example 5.47 in the Student’s Book to guide students to
find the unknown values of x, y, and z. Engage students in groups
to use scientific calculators or Maple to verify the answers
obtained for the given example. Give comments on the answers.

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Mathematics for Advanced Secondary Schools

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