Matrix and Determinant

10. the value of $\left|\begin{array}{ccc}2& 3& 4\\ 5& 6& 7\\ 10& 12& 14\end{array}\right|$ is [2075]

11. If A = (1,2,3) and b = $\left(\begin{array}{c}1\\ 2\\ 3\end{array}\right)$ then AB is [2075]

12. The inverse of the matrix $\left|\begin{array}{cc}-1& 1\\ 1& -3\end{array}\right|$ is [2075]

10. If A = $\left(\begin{array}{c}1\\ 2\\ 3\end{array}\right)$ and B = ± $\left(\begin{array}{ccc}1& 2& 3\end{array}\right)$ then AB is [2074]

11. Value of $\left[\begin{array}{ccc}0& 2& 3\\ 1& 2& 3\\ 4& 8& 12\end{array}\right]$ is [2074]

12. Matrix $\left(\begin{array}{ccc}1& 2& 3\\ -1& 0& 4\\ -3& -4& 5\end{array}\right)$ is [2074]

10. If $\left[\begin{array}{ccc}k& 1& 0\\ 2& 0& k\\ 0& 2& -1\end{array}\right]$ = 0, then k = [2073]

11. The value of x for which A = $\left[\begin{array}{cc}6& x-3\\ 3& x\end{array}\right]$ has no inverse is [2073]

10. If A = $\left(\begin{array}{ccc}-1& 0& 2\end{array}\right)$ and B = $\left(\begin{array}{c}2\\ 3\\ 4\end{array}\right)$, then AB is [2072]

11. The value of the determinant $\left[\begin{array}{ccc}1& 2& 0\\ 2& 4& 1\\ 3& 6& 2\end{array}\right]$ is [2072]

12. The adjoint of the matrix abcd is [2072]

8. If $A=\left[\begin{array}{cc}1& 2\\ 2& 3\end{array}\right]$ , then A² - nA - I = 0, then the value of n is [2071]

9. If $A=\left[\begin{array}{ccc}1& 0& 1\\ 0& 1& 1\\ 1& 0& 0\end{array}\right]$ , then A is [2071]

4. If A = $\left(\begin{array}{cc}a& b\\ c& d\end{array}\right)$, then A¹⁰⁰ is equal to [2070]