engineering recuitment GATE IN Test Series 2023-24 Mock Test Engineering Mathematics Linear Algebra Eigenvalues
\(Let\;A = \left[ {\begin{array}{*{20}{c}} a&{ - 1}&4\\ 0&b&7\\ 0&0&3 \end{array}} \right]\) be a matrix with real entries. If the sum and the product of all the eigenvalues of \(A\) are 10 and 30 respectively, then \(a^2 + b^2\) equals
1
29
2
40
3
58
4
65