Recent questions tagged goclasses-da-dpp-day-134

If $C$ is a non-singular matrix and $B=C \begin{bmatrix} 0 & x & y \\ 0 & 0 & x \\ 0 & 0 & 0 \end{bmatrix} C^{-1}$ then:$B^2=I$ $B^2 = \text{Null Matrix}$ $B^3=I$ $B^3 = ...

The value of $p$ such that the vector $\begin{bmatrix}1\\2\\1\end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix}1&1&0\\p&1&0\\0&1&1\end{bmatrix}$ is$2$ $3$ $4...

Let, $A=\begin{pmatrix}3&1&1&1\\1&3&1&1\\1&1&3&1\\1&1&1&3\end{pmatrix}$.Then for the above given matrix $A$, $A^4-8A^3+20A^2=$ $64A-96I$ $96A-64I$ $32A-64I$ $288I$

Let $A$ be an $n\times n$ square matrix for which the entries in every row sum to $0$.Consider the following statements:The column vector $[1,1,\ldots,1]^T$ is an eigenve...

Consider a square matrix $A$ of order $10$ and $\mathrm{A}=[\mathrm{aij}]$; where $1 \leq \mathrm{i,j} \leq 10$.Given that $\mathrm{aij} =\left\{\begin{array}{cc}\min (i+...