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

\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]

Question 1

Evaluate the determinant of \left[\begin{array}{lll}{1}&{2}&{3}\{2}&{4}&{6}\{1}&{1}&{1}\end{array}ight]

Accepted Answer

Question 2

Find the matrix inverse of \left[\begin{array}{lll}{1}&{2}&{3}\{2}&{4}&{6}\{1}&{1}&{1}\end{array}ight]

Accepted Answer

ext{Does not exist}

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Find the row echelon form of \left[\begin{array}{lll}{1}&{2}&{3}\{2}&{4}&{6}\{1}&{1}&{1}\end{array}ight]

Accepted Answer

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

Question 6

Find the reduced row echelon form of \left[\begin{array}{lll}{1}&{2}&{3}\{2}&{4}&{6}\{1}&{1}&{1}\end{array}ight]

Accepted Answer

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

[beginarraylll1&2&32&4&61&1&1endarray]

Matrices