Find the matrix transpose of \left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]

\left[\begin{array}{lll}{1}&{2}&{1}\\{2}&{4}&{1}\\{3}&{6}&{1}\end{array}\right]

Find the eigenvalues of \left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]

\lambda_{1}=3-\sqrt{13},\lambda_{2}=0,\lambda_{3}=3+\sqrt{13}

\left[\begin{array}{lll}{1}&{2}&{3}\\{0}&{-1}&{-2}\\{0}&{0}&{0}\end{array}\right]

\left[\begin{array}{lll}{1}&{0}&{-1}\\{0}&{1}&{2}\\{0}&{0}&{0}\end{array}\right]

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Question :

Evaluate the determinant

Find the matrix inverse

Find the matrix transpose

0

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Evaluate the determinant of $\left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]$

$0$
Find the matrix inverse of $\left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]$

$Does not exist$
Find the matrix transpose of $\left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]$

$123246111$
Find the eigenvalues of $\left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]$

$λ_{1} = 3 - 13, λ_{2} = 0, λ_{3} = 3 + 13$
Find the row echelon form of $\left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]$

$100 2 - 1 0 3 - 2 0$
Find the reduced row echelon form of $\left[\begin{array}{l} {1}&{2}&{3}\\{2}&{4}&{6}\\{1}&{1}&{1}\end{array}\right]$

$100010 - 1 20$