Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix: $\left[\begin{array}{ccc}10& -15& 27\\ -15& 0& \sqrt{34}\\ 27& \sqrt{34}& \frac{5}{3}\end{array}\right]$

Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix: $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$

Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix: $\left[\begin{array}{ccc}0& 0& 1\\ 0& 1& 0\\ 1& 0& 0\end{array}\right]$

Find whether the following matrix is singular or non singular ?

$\left[\begin{array}{ccc}a& b& c\\ p& q& r\\ 2a-p& 2b-q& 2c-r\end{array}\right]$

Find whether the following matrix is singular or non singular ?

$\left[\begin{array}{ccc}5& 0& 5\\ 1& 99& 100\\ 6& 99& 105\end{array}\right]$

Find whether the following matrix is singular or non singular ?

$\left[\begin{array}{ccc}3& 5& 7\\ -2& 1& 4\\ 3& 2& 5\end{array}\right]$

Find whether the following matrix is singular or non singular ?

$\left[\begin{array}{cc}7& 5\\ -4& 7\end{array}\right]$

Find $k$ if the following matrix is singular

$\left[\begin{array}{cc}7& 3\\ -2& \mathrm{k}\end{array}\right]$

Find k if the following matrix is singular

$\left[\begin{array}{ccc}4& 3& 1\\ 7& \mathrm{k}& 1\\ 10& 9& 1\end{array}\right]$