Given that A = and B = find values of x for which AB is a singular matrix. (4 marks) (b) Mambo bought 3 exercise books and 5 pens for a total of Ksh 165. 1f Mambo had bought 2 exercise books and 4 pens, he would have spent Ksh 45 less. Taking x to represent the price of an exercise book and y to represent the price of a pen: (i) Form two equations to represent the above information. (1 mark) (ii) Use matrix method to find the price of an exercise book and that of a pen. (3 marks) (iii) A teacher of a class of 36 students bought 2 exercise books and 1 pen for each student. Calculate the total amount of money the teacher paid for the books and pens.

/in /by

Given that A =

and B =

find values of x for which AB is a singular matrix.

(b) Mambo bought 3 exercise books and 5 pens for a total of Ksh 165. 1f Mambo had bought 2 exercise books and 4 pens, he would have spent Ksh 45 less.

Taking x to represent the price of an exercise book and y to represent the price of a pen:

(i) Form two equations to represent the above information.

(ii) Use matrix method to find the price of an exercise book and that of a pen.

(iii) A teacher of a class of 36 students bought 2 exercise books and 1 pen for each student.

Calculate the total amount of money the teacher paid for the books and pens.

You might also like
Evaluate correct to four decimal places, hence Write the answer in standard form.
The diagram below shows a region R bounded by three lines L1 L2 L3 Form the three inequalities that satisfy the given region R
Use the mid ordinate rule with six strips to find the area bounded by the curve y =x2 + 1, the lines x = -4 , x = 8 and the x-axis.
A Kenyan bank buys and sells foreign currencies as shown below: Buying (Ksh) Selling (Ksh) 1 Sterling pound (£) 130.10 130.54 1 South African Rand 9.52 9.58 A businessman on a trip to Kenya had £50 000 which he converted to Kenya shillings. While in Kenya, he spent 80% of the money and changed the balance to South African Rand. Calculate, to the nearest Rand, the amount he obtained.
Murimi and Naliaka had each 840 tree seedlings. Murimi planted equal number of seedlings per row in x rows while Naliaka planted equal number of seedlings in (x + 1) rows. The number of tree seedlings planted by Murimi in each row were 4 more than those planted by Naliaka in each row. Calculate the number of seedlings Murimi planted in each row
Suppose that X takes values between 0 and 1 and has probability density function 2x. Compute Var(X) and Var(X2).
The comer points A, B, C and D of a ranch are such that B is 8km directly East of A and C is 6km from B on a bearing of 30°. D is 7km from C on a bearing of 300°. (a) Using a scale of 1cm to represent 1km, draw a diagram to show the positions of A, B, C and D. (4 marks) (b) Use the scale drawing to determine: (i) the bearing of A from D; (1 mark) (ii) the distance BD in kilometres.
In the triangle ABC below, BC = 12 cm, A ABC = 80° and L ACB = 30°. 5.Calculate correct to 4 significant figures. the area of triangle ABC. (3 marks) Given that the exterior angle of a regular hexagon is x. find the size of each interior angle of the hexagon. (2 marks)