GCSEFurther MathsAQATopic Questions5. Matrix TransformationsMatrix Multiplication

Matrix Multiplication (AQA GCSE Further Maths)

Topic Questions

DownloadView
Medium
1a
Sme Calculator3 marks

A = open parentheses table row 4 cell negative 1 end cell row cell negative 7 end cell 2 end table close parentheses              B = open parentheses table row s row cell negative 5 end cell end table close parentheses               C = open parentheses table row cell negative 1 end cell row t end table close parentheses              D = open parentheses table row 2 1 row 7 u end table close parentheses

s comma space t and u are constants.

AB = C

Work out the values of s and t.

s space equals .....................................    

t space equals .....................................[3]

How did you do?

1b
Sme Calculator1 mark

AD = I

Work out the value of u.

u space equals..........................[1]

How did you do?

Did this page help you?

2
Sme Calculator4 marks

open parentheses table row 2 1 row 0 3 end table close parentheses open parentheses table row a b row 0 cell 0.4 end cell end table close parentheses equals k space straight I   where k is a constant and I is the identity matrix.
Work out the values of a and b.

a space equals................. space b space equals.................[4]

   

How did you do?

Did this page help you?

3
Sme Calculator3 marks

a open parentheses table row 3 row 5 end table close parentheses equals 4 open parentheses table row cell 2 a plus 3 end cell row b end table close parentheses

Work out the values of a and b.

a space equals.............. space b space equals..............[3]

How did you do?

Did this page help you?

4
Sme Calculator2 marks

open parentheses table row m cell negative 1 end cell row 1 1 end table close parentheses open parentheses table row 2 2 row cell negative 2 end cell cell negative 1 end cell end table close parentheses equalsbold I where I is the identity matrix.

Work out the value of m.

[2]

How did you do?

Did this page help you?

5
Sme Calculator2 marks

bold A bold space equals space open parentheses table row 2 4 row 3 cell negative 1 end cell end table close parentheses space    and     bold B bold space equals space open parentheses table row cell negative 2 end cell 6 row 2 1 end table close parentheses

Work out       AB.

[2]

How did you do?

Did this page help you?

6
Sme Calculator3 marks

4 open parentheses table row cell 1 minus 2 a end cell row a end table close parentheses equals open parentheses table row b row 12 end table close parentheses

Work out the values of a and b.

a equals space................. space space b space equals space................[3]

How did you do?

Did this page help you?