If B=⎣⎡50α2α2311−1⎦⎤ is the inverse of a 3×3 matrix A, then the sum of all values of α for which det (A)+1=0, is?

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If B={bmatrix} 5 & 2 & 1 0 & 2 & 1 & 3 & -1{bmatrix} is the i

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If $B = ⎣ ⎡ 50 α 2 α 23 11 - 1 ⎦ ⎤$ is the inverse of a $3 \times 3$ matrix A, then the sum of all values of $α$ for which det $(A) + 1 = 0$ , is?

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B = ⎣ ⎡ 50 α 2 α 23 11 - 1 ⎦ ⎤

is the inverse of a

3 \times 3

matrix A, then the sum of all values of

α

for which det

(A) + 1 = 0

, is?

11 mins ago

Discuss this question LIVE

11 mins ago

∣ B ∣ = 5 (- 5) - 2 α) - α) - 2 α

= 2 α^{2} - 2 α - 25

1 + ∣ A ∣ = 0

α^{2} - α - 12 = 0

Sum

= 1

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Question Text	If $B = ⎣ ⎡ 50 α 2 α 23 11 - 1 ⎦ ⎤$ is the inverse of a $3 \times 3$ matrix A, then the sum of all values of $α$ for which det $(A) + 1 = 0$ , is?
Answer Type	Text solution:1
Upvotes	150