3 marks Question 2 At the end of the year, December 31, 2021, three sisters Ama, Baaba and Efua received an amount of c2
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3 marks Question 2 At the end of the year, December 31, 2021, three sisters Ama, Baaba and Efua received an amount of c2
3 marks Question 2 At the end of the year, December 31, 2021, three sisters Ama, Baaba and Efua received an amount of c250 from interest bearing accounts they invested in at the beginning of the year, January 1, 2021. Suppose Ama received an interest of 2% on her investment, Baaba received 5% on her investment and the received 4% on her investment. In addition, suppose that the amount of money Baaba invested in her account is €350 more than the amount invested by Ama and Efua.combined. Also, the amount of money invested by Baaba is twice as much as the amount invested by Efun. (a) Write down the three linear equations. 2 marks (b) Represent the system of equations in a matrix form AX = B. (c) Find the determinant of the matrix A. 2 marks (d) Find the inverse of the matrix A. 8 marks (e) Find the amount of money given to each of the 3 siblings using matrix inversion. 2 marks 1 mark 2
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