Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Linear Algebra Eigenvalues and Eigen Vectors
Which of the following is/are) correct:
(A). \(\left[\begin{array}{ll} 1 & 1 \\ 0 & 0 \end{array}\right]\) is diagonisable but non-invertible matrix.
(B). \(\left[\begin{array}{ll} 1 & 1 \\ 0 & 1 \end{array}\right]\) is non-diagonisable but invertible matrix.
(C). \(\left[\begin{array}{ll} 1 & 1 \\ 0 & 1 \end{array}\right]\) is diagonisable and invertible matrix.
(D). \(\left[\begin{array}{ll} 1 & 1 \\ 0 & 0 \end{array}\right]\) is non-diagonisable and non-invertible matrix.
Choose the correct option from the options given below:
1
(A), (B) and (C) only.
2
(A) and (B) only.
3
(A), (C) and (D) only.
4
(A), (B), (C) and (D).