Related Questions

Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right
Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 0&1&0&0 \\ 1&0&0&0 \\ 0&0&0&{ - 2i} \\ 0&0&{2i}&0 \end{array}} \right
Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right
How many of the following statements are correct? i) All cyclic graphs are complete graphs. ii) All complete graphs are cyclic graphs. iii) All paths are bipartite. iv) All cyclic graphs are bipartite. v) There are cyclic graphs which are complete.
The eigen values of the following matrix are \[\left[ {\begin{array}{*{20}{c}} { - 1}&3&5 \\ { - 3}&{ - 1}&6 \\ 0&0&3 \end{array}} \right
If \[{\text{R}} = \left[ {\begin{array}{*{20}{c}} 1&0&{ - 1} \\ 2&1&{ - 1} \\ 2&3&2 \end{array}} \right
The elgen values of the matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&{ - 1}&5 \\ 0&5&6 \\ 0&{ - 6}&5 \end{array}} \right
\[\left[ {\begin{array}{*{20}{c}} {21}&0&0 \\ 0&9&0 \\ 0&0&6 \end{array}} \right
Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 3&{ - 1}&{ - 1} \\ { - 1}&3&{ - 1} \\ { - 1}&{ - 1}&3 \end{array}} \right
The rank of the matrix \[{\text{M}} = \left[ {\begin{array}{*{20}{c}} 5&{10}&{10} \\ 1&0&2 \\ 3&6&6 \end{array}} \right