Form 5 Modern Mathematics

Revision Questions SET 1 ( Matrix & Variation)

Prepared by : R. Sharuvindan Nair BSc Physics

1. Given the value of the determinant of the

matrix

−c3

54 is -11.

Find the value of c.

4. Given two equations: 5g + 2h = -4 -6g – h = 9 Express the simultaneous equation above in matrix form . Hence find the values of g and h.

“Small minds discuss persons. Average minds discuss events. Great minds discuss ideas. Really great minds discuss mathematics.” - Dean Schlicter

2. Find the inverse of

−21

35

3. Express

−

3

2

61

35as a single matrix

5. Given that v varies directly as the square root of w and inversely as x, complete the table below :

v w x 3 25 2 2 9

6. Given that ∝a 3z

y and a = 7 when y = 7

and z = 4. (a) express a in terms of y and z. (b) find the value of a when y =10 and z= 8