If A = [[3, 2], [1, 4]] and B = [[a, b], [c, d]] such that A + B = [[5, 0], [0, 5]], then the value of a + d is: A. 3 B. 5 C. 6 D. 10 Answer: A) 3 Explanation: A + B = [[3+a, 2+b], [1+c, 4+d]] = [[5, 0], [0, 5]]. So 3+a = 5 → a = 2; 2+b = 0 → b = −2; 1+c = 0 → c = −1; 4+d = 5 → d = 1. Then a + d = 2 + 1 = 3.

imo class 12 matrices

If A = [[3, 2], [1, 4]] and B = [[a, b], [c, d]] such that A + B = [[5, 0], [0, 5]], then the value of a + d is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

#IMO #Class 12 #Mathematics #Matrices #mathematical-reasoning

If A = [[3, 2], [1, 4]] and B = [[a, b], [c, d]] such that A + B = [[5, 0], [0, 5]], then the value of a + d is:

A. 3
B. 5
C. 6
D. 10

Answer: A) 3

Explanation: A + B = [[3+a, 2+b], [1+c, 4+d]] = [[5, 0], [0, 5]]. So 3+a = 5 → a = 2; 2+b = 0 → b = −2; 1+c = 0 → c = −1; 4+d = 5 → d = 1. Then a + d = 2 + 1 = 3.

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