AP EAMCET20224 Jul 2022Evening ShiftMathematicsMatricesActual

If A = 2 - 3 - 4 1 , then A T 2 + 12 A T =

Options

A5 8 12 - 9 5
B5 8 - 9 - 12 5
C40 - 45 60 25
D40 - 60 - 45 25

Correct answer

D. 40 - 60 - 45 25

Step-by-step solution

Given: A = 2 - 3 - 4 1 ⇒ A T = 2 - 4 - 3 1 ⇒ A T 2 = 2 - 4 - 3 1 2 - 4 - 3 1 ⇒ A T 2 = 16 - 12 - 9 13 And, 12 A = 24 - 36 - 48 12 ⇒ 12 A T = 24 - 48 - 36 12 So, A T 2 + 12 A T = 16 - 12 - 9 13 + 24 - 48 - 36 12 ⇒ A T 2 + 12 A T = 40 - 60 - 45 25

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