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Case Study: The purpose of discipline in the workplace is to input of quality in a timely manner. So, two offices A and B want to award their employees on the values of Honesty, Hard work and Punctuality. Rewarding is a way of motivating one person to perform 'better. The office A wants to award Rs x each, y each and Rs z each for the three respective values to its 3, 2 and 1 employees respectively with a total award money of Rs 2200. Office B wants to spend * Rs 3100 to award its 4, 1 and 3 employees on the respective values (by giving the same award money to the three values as office A). The total amount of award for one prize on each value is Rs 1200. It also serve as a healthy competition between employees for becoming a best asset of the company. Using the concept of matrices and determinants, answer the following questions. The minor of element 6 in the determinant |{:(1,2,3),(4,5,6),(7,8,9):}| is :

Case Study: The purpose of discipline in the workplace is to input of quality in a timely manner. So, two offices A and B want to award their employees on the values of Honesty, Hard work and Punctuality. Rewarding is a way of motivating one person to perform 'better. The office A wants to award Rs x each, y each and Rs z each for the three respective values to its 3, 2 and 1 employees respectively with a total award money of Rs 2200. Office B wants to spend * Rs 3100 to award its 4, 1 and 3 employees on the respective values (by giving the same award money to the three values as office A). The total amount of award for one prize on each value is Rs 1200. It also serve as a healthy competition between employees for becoming a best asset of the company. Using the concept of matrices and determinants, answer the following questions. The cofactor matrix of the determinant | {:(-1, 4),(9,2):}| is :