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(a)Given that A=#[[3,x],[x+1,2]]# and B=#[[1,2],[3,0]]#,find the 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.If Mambo bought 2 exercise books and 4 pens ,he would have spent ksh 45 less .Taking x to represent the price
of an exercise 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 student bought 2 exercise books and 1 pen for each student.Calculate the total
amount of money the teacher paid for the books and pens.