Question 133

If A and B are 3 x 3 matrices. such that the sum of elements along principal diagonal of A is 3 and the sum of elements along principal diagonal of B is 4. then the sum of principal diagonal elements of 3A + 5B =

Solution

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Sum of elements along principal diagonal of A = 3 

Sum of elements along principal diagonal of B = 4

Sum of principal diagonal elements of 3A + 5B = (3 * 3) + (5 * 4)

= 9 + 20

= 29

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