M=[sin4θ1+cos2θ−1−sin2θcos4θ]=αI+βM−1 Where α=α(θ) and β=β(θ) ar real numbers and I is an identity matric of 2×2 if α∗= min of set {α(θ):θ∈[0.2π)} and β∗= min of set {β(θ):θ∈[0.2π)} Then value of α∗+β∗ is

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Question

$M = [sin^{4} θ 1 + cos^{2} θ - 1 - sin^{2} θ cos^{4} θ] = α I + β M^{- 1}$
Where $α = α (θ)$ and $β = β (θ)$ ar real numbers and I is an identity matric of $2 \times 2$
if $α^{} =$ min of set ${α (θ) : θ \in [0.2 π)}$
and $β^{} =$ min of set ${β (θ) : θ \in [0.2 π)}$
Then value of $α^{} + β^{}$ is

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Samuel Discussed

M = [sin^{4} θ 1 + cos^{2} θ - 1 - sin^{2} θ cos^{4} θ] = α I + β M^{- 1}

Where

α = α (θ)

and

β = β (θ)

ar real numbers and I is an identity matric of

2 \times 2

α^{*} =

min of set

{α (θ) : θ \in [0.2 π)}

and

β^{*} =

min of set

{β (θ) : θ \in [0.2 π)}

Then value of

α^{*} + β^{*}

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Question Text

M = [sin^{4} θ 1 + cos^{2} θ - 1 - sin^{2} θ cos^{4} θ] = α I + β M^{- 1}

Where

α = α (θ)

and

β = β (θ)

ar real numbers and I is an identity matric of

2 \times 2

α^{*} =

min of set

{α (θ) : θ \in [0.2 π)}

and

β^{*} =

min of set

{β (θ) : θ \in [0.2 π)}

Then value of

α^{*} + β^{*}