Question

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Answer 1

Answer:

option 4 : (-4,5)

soln refers to the attachment.

Answer 2

Answer:

Option(4)

Step-by-step explanation:

Given,

$\left[\begin{array}{ccc}x - 4&2x&2x\\2x&x - 4&2x\\2x&2x&x - 4\end{array}\right] = (A + Bx)(x - A)^2$

Put x = 0 on both sides, we get

$\Rightarrow \left[\begin{array}{ccc} -4&0&0\\0&-4&0\\0&0&-4\end{array}\right] = (A + 0)(0 - A)^2$

⇒ -4³ = A³

⇒ A = -4

Put x = 1 on both sides, we get

$\Rightarrow \left[\begin{array}{ccc} -3&2&2\\2&-3&2\\2&2&-3\end{array}\right] = (-4 + B)(1 - A)^2$

⇒ -3(9 - 4) - 2(-6 - 4) + 2(4 + 6) = (-4 + B)(1 + 4)²

⇒ -15 + 20 + 20 = (-4 + B) * 25

⇒ 25 = (-4 + B) * 25

⇒ B = 5

Therefore, (A,B) is equal to (-4,5)

Hope it helps!