1.1 1.2 1.3 Determine the value(s) of x which makes matrix A below singular. 1 x...

 

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1.1 1.2 1.3 Determine the value(s) of x which makes matrix A below singular. 1 x 3] A= 4 5 6 x 8 9 1.4 Solve the equation: 12 3 A= (6 marks) Cassy Bookstore, a bookshop sell books. In January, it sold 700 hardcover books, 1300 softcover books and 2000 plastic books in Ohangwena. It also sold 400 hardcover, 300 softcover and 500 plastic books in Outapi. A hardcover book is sold for N$300, softcover books are sold for N$100 each and plastic books are sold for N$150 each. 1.3.1 Represent the sales for each type of books in each town as a matrix and write a column matrix with the price data. (2 marks) 1.3.2 Use the matrices you wrote in 1.3.1 to show how matrix operation may be used to compute the total revenue at the two stores and find the total revenue at each store. Which operation did you use? Prove that if A and Bare diagonal matrices of the same order, then AB= BA (6 marks) (5 marks) (15 marks) 1.1 1.2 1.3 Determine the value(s) of x which makes matrix A below singular. 1 x 3] A= 4 5 6 x 8 9 1.4 Solve the equation: 12 3 A= (6 marks) Cassy Bookstore, a bookshop sell books. In January, it sold 700 hardcover books, 1300 softcover books and 2000 plastic books in Ohangwena. It also sold 400 hardcover, 300 softcover and 500 plastic books in Outapi. A hardcover book is sold for N$300, softcover books are sold for N$100 each and plastic books are sold for N$150 each. 1.3.1 Represent the sales for each type of books in each town as a matrix and write a column matrix with the price data. (2 marks) 1.3.2 Use the matrices you wrote in 1.3.1 to show how matrix operation may be used to compute the total revenue at the two stores and find the total revenue at each store. Which operation did you use? Prove that if A and Bare diagonal matrices of the same order, then AB= BA (6 marks) (5 marks) (15 marks)