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lf {A} is {{array}{lll} 8 & -6 & 2 -6 & 7 & -4 2 & -4 & {arra

Question

lf $A$ is $⎩ ⎨ ⎧ 8 - 6 2 - 6 7 - 4 2 - 4 λ ⎭ ⎬ ⎫$ is a singular matrix then $λ =$

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Samuel Discussed

A

⎩ ⎨ ⎧ 8 - 6 2 - 6 7 - 4 2 - 4 λ ⎭ ⎬ ⎫

is a singular matrix then

λ =

7 mins ago

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7 mins ago

Text solutionVerified

Given,

A = ⎝ ⎛ 8 - 6 2 - 6 7 - 4 2 - 4 λ ⎠ ⎞

is a singular matrix
So, det A=0

∴

BY operation of matrix (s),

d e t A = 8 (7 λ - 16) + 6 [- 6 λ + 8] + 2 [24 - 14]

= 56 λ - 128 - 36 λ + 48 + 20

= 20 λ - 60

So,

d e t A = 0 = 20 λ - 60

λ = 3

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Question Text	lf $A$ is $⎩ ⎨ ⎧ 8 - 6 2 - 6 7 - 4 2 - 4 λ ⎭ ⎬ ⎫$ is a singular matrix then $λ =$
Answer Type	Text solution:1
Upvotes	150