Let A- 1 0 0- 2 1 0- 3 2 1 - - If -1 and -2 are column matrices such that A-1- 1- 0- 0 - and A-2- 0- 1- 0 - then -1-2 is equal to-

A(μ_1+μ_2)=[ 1; 1; 0 ] Now |A|=1 A^ 1=1/|A|adj A μ_1+μ_2=A^ 1[ 1; 1; 0 ]=[ 1 amp;0 amp; 0; 2 amp;1 amp;0; 1 amp; 2 amp;1 ][ 1; 1; 0 ]=[ 1; ...

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Summation of Determinant

Let A=[ 1 0 0...

Question

Let $A = ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 2 & 1 & 0 3 & 2 & 1 \end{matrix} ⎞ ⎟ ⎠$ , If $μ_{1}$ and $μ_{2}$ are column matrices such that $A μ_{1} = ⎛ ⎜ ⎝ \begin{matrix} 100 \end{matrix} ⎞ ⎟ ⎠$ and $A μ_{2} = ⎛ ⎜ ⎝ \begin{matrix} 010 \end{matrix} ⎞ ⎟ ⎠$ , then $μ_{1} + μ_{2}$ is equal to:

$⎛ ⎜ ⎝ \begin{matrix} - 1 10 \end{matrix} ⎞ ⎟ ⎠$

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$⎛ ⎜ ⎝ \begin{matrix} - 1 1 - 1 \end{matrix} ⎞ ⎟ ⎠$

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$⎛ ⎜ ⎝ \begin{matrix} - 1 - 1 0 \end{matrix} ⎞ ⎟ ⎠$

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$⎛ ⎜ ⎝ \begin{matrix} 1 - 1 - 1 \end{matrix} ⎞ ⎟ ⎠$

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Similar questions

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 2 & 1 & 0 3 & 2 & 1 \end{matrix} ⎤ ⎥ ⎦

u_{1}

u_{2}

A u_{1} = ⎡ ⎢ ⎣ \begin{matrix} 100 \end{matrix} ⎤ ⎥ ⎦

A u_{2} = ⎡ ⎢ ⎣ \begin{matrix} 010 \end{matrix} ⎤ ⎥ ⎦

u_{1} + u_{2}

μ_{1}

μ_{2}

μ_{1}

μ_{2}

μ_{1}

μ_{2}

x

y

\frac{μ_{2}}{μ_{1}}

Let X_{1}, X_{2}

μ_{1}, μ_{2}

σ_{1}, σ_{2}, respectively. Consider Y = X_{1} - X_{2}, μ_{1} = μ_{2} = 1, σ_{1} = 1, σ_{2} = 2. Then

μ_{1} = 1.58

μ_{2} = 1.53

θ

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