AP EAMCET2005MathematicsMatrices

If m[-3,4]+n[4-3]=[10-11], then 3 m+7 n is equal to

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Correct answer

D. 1

Step-by-step solution

Given that, aligned & m [ array ll -3 & 4 array ]+n [ array ll 4 & -3 array ]= [ array ll 10 & -11 array ] & [ array ll -3 m+4 n & 4 m-3 n array ]= [ array ll 10 & -11 array ] aligned On solving equations (i) and (ii), we get n=1, m=-2 Now, 3 m+7 n=3(-2)+7(1)=1

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