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QUESTION 2 [32 MARKS] 2.1 Matrices P. Q and R are defined by P= $ 1 2- 4 7. R=-2 where x and y are real numbers. 2.1.1 Given that the determinant of matrix P is 2, calculate the value of x. [3] 2.1.2 R- [4] 2.1.3 The value of y if matrix RO = 36 -6 [4] 24 2.2 Solve the following pair of simultaneous equations using Cramer's rule. 5+3y and 7y =4x-11 [5] 2 2.3 Solve for xif x = \\ " +4 [4] 2.4 Leon left /$800000.00 in his estate account. This amount is to be invested in the estate for 6 years at the interest rate of 12.75% p.a. compounded monthly. After 6 years the maturity value will be distributed amongst his 4 daughters in the ratio of their age. Maria will be 15 years old, Jolene will be 22 years old, Rose will be 28 years old and Tina will be 8 years old. 2.4.1 Calculate the maturity value after 6 years. [4] 2.4.2 What is the difference between Rose and Tina's amount? [2] 2.5 Given the progression; 1;-4:16;-64:... 2.5.1 Find the common ratio. [1] 2.5.2 Work out the 9th term of the progression. [5]