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8. System of Linear Equations
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Q2 of 98 Page 314

If + 2A =then A=?

C

+ 2A =


2A =


2A =


Dividing the matrix by 2


A =

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45

Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award ₹ x each, ₹ y each and ₹ z each for the three respective values to 3, 2 and 1 students respectively with total award money of ₹ 1,600. School B wants to spend ₹ 2,300 to award its 4, 1 and 3 students on the respective values (by giving the same award money to the three values as before). If the total amount of award for one prize on each value is ₹ 900, using matrices, find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

HINT: By the given data, we have



1

If A and B are 2-rowed square matrices such that

(A+B)= and (A-B)=then AB=?


3

If A=and B=are such that 4A + 3X = 5B then X=?

4

If (A-2B)=and (2A-3B) =then B=?

Questions · 98
8. System of Linear Equations
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