71. The minimum eigen value of the following matrix is
\[\left[ {\begin{array}{*{20}{c}}
3&5&2 \\
5&{12}&7 \\
2&7&5
\end{array}} \right]\]
\[\left[ {\begin{array}{*{20}{c}} 3&5&2 \\ 5&{12}&7 \\ 2&7&5 \end{array}} \right]\]
72. With reference to the conventional Cartesian (x, y) coordinate system, the vertices of a triangle have the following coordinates; (x1, y1) = (1, 0);
(x2, y2) = (2, 2); (x3, y3) = (4, 3). The area of the triangle is equal to
73. If a square matrix A is real and symmetric, then the eigen values
74. An eigen vector of \[{\text{P}} = \left[ {\begin{array}{*{20}{c}}
1&1&0 \\
0&2&2 \\
0&0&3
\end{array}} \right]\] is
75. Given the matrix \[\left[ {\begin{array}{*{20}{c}}
{ - 4}&2 \\
4&3
\end{array}} \right],\] the eigen vector is
76. At least one eigen value of a singular matrix is
77. Eigen values of a real symmetric matrix are always
78. The eigen values of a skew-symmetric matrix are
79. Which one of the following does NOT equal \[\left| {\begin{array}{*{20}{c}}
1&{\text{x}}&{{{\text{x}}^2}} \\
1&{\text{y}}&{{{\text{y}}^2}} \\
1&{\text{z}}&{{{\text{z}}^2}}
\end{array}} \right|?\]
80. The inverse of the 2 × 2 matrix \[\left[ {\begin{array}{*{20}{c}}
1&2 \\
5&7
\end{array}} \right]\] is
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