Two schools A and B want to award their selected students on the values of Honesty, Hard work and Punctuality. The school A wants to award x each, y each and z each for the three respective values to its 3, 2 and 1 students respectively with a total award money of 2200. School B wants to spend 3100 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as school A). The total amount of award for one prize on each value is ₹ 1200.
Using the concept of matrices and determinants, answer the following questions. (i) What is the award money for Honesty? [1]
(ii) What is the award money for Punctuality? [1]
(iii) What is the award money for Hard work? [1]
(iv) If a matrix P is both symmetric and skew-symmetric, then find |P]. [¹]
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Matrices Determinants
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