Question 9:
(a) Given 1s(−42−53)(t−25−4)=(1001), find the value of s and of t.
(b) Using matrices, calculate the value of x and of y that satisfy the following matrix equation:
(−42−53)(xy)=(12)
Solution:
(a)1s(t−25−4)=(−42−53)−1=1(−4)(3)−(2)(−5)(3−25−4)=1−2(3−25−4)∴
(a) Given 1s(−42−53)(t−25−4)=(1001), find the value of s and of t.
(b) Using matrices, calculate the value of x and of y that satisfy the following matrix equation:
(−42−53)(xy)=(12)
Solution:
(a)1s(t−25−4)=(−42−53)−1=1(−4)(3)−(2)(−5)(3−25−4)=1−2(3−25−4)∴
Question 10 (5 marks):
During the sport day, students used coupons to buy food and drink. Ali and Larry spent RM31 and RM27 respectively. Ali bought 2 food coupons and 5 drinks coupons while Larry bought 3 coupons and 1 drinks coupon.
Using the matrix method, calculate the price, in RM, of a food coupon and of a drinks coupon.
Solution:
Ali spent RM31. He bought 2 food coupons and 5 drinks coupons.
Larry spent RM27. He bought 3 food coupons and 1 drinks coupons.
x = price of one food coupon
y = price of one drinks coupon
During the sport day, students used coupons to buy food and drink. Ali and Larry spent RM31 and RM27 respectively. Ali bought 2 food coupons and 5 drinks coupons while Larry bought 3 coupons and 1 drinks coupon.
Using the matrix method, calculate the price, in RM, of a food coupon and of a drinks coupon.
Solution:
Ali spent RM31. He bought 2 food coupons and 5 drinks coupons.
Larry spent RM27. He bought 3 food coupons and 1 drinks coupons.
x = price of one food coupon
y = price of one drinks coupon