Recent questions tagged goclasses-da-dpp-day-123

The Eigen values of a $2 \times 2$ matrix $A$ are $1, -2$, and its Eigen vectors $x_1$ and $x_2$ respectively.The Eigen values and Eigen vectors of the matrix $A^{2} - 3A...

If $M$ is a square matrix with a zero determinant, which of the following assertion(s) is(are) correct?S1: Each row of $M$ can be represented as a linear combination of t...

The condition for which the eigenvalues of the matrix $A=\begin{bmatrix} 2 & 1\\ 1 &k \end{bmatrix}$ are positive is$k \frac{1}{2}$ $ k −2$ $ k 0$ $k< \frac{-1}{2}$

Let M be a $3 \times 3$ matrix satisfying:$$M\left[\begin{array}{l}0 \\1 \\0\end{array}\right]=\left[\begin{array}{c}-1 \\2 \\3\end{array}\right], \quad M\left[\begin{arr...

Consider a $4 \times 4$ matrix $M$. Suppose that the following four entries of the matrix are known to be zero.For which of the following cases must the determinant of th...