Recent questions tagged goclasses-da-dpp-day-125

Consider matrix $A =$ $\begin{bmatrix} k &2k \\ k^{2}-k &k^{2} \end{bmatrix}$ and $x =$ $\begin{bmatrix} x1\\x2 \end{bmatrix}$The number of distinct real values of $k$ f...

An arbitrary vector $X$ is an eigen vector of the vector of the matrix $A = \begin{pmatrix}1 & 0 & 0 \\0 & a & 0 \\0 & 0 & b\end{pmatrix}$, if $(a, b)=$$(0, 0)$ $(1, 1)$ ...

$A$ is $m \times n$ full rank matrix with $m>n$ and $I$ is an identity matrix. Let matrix $A’ = (A^TA)^{-1} A^T$. Then which of the following statement(s) is(are) FALSE?$...

Let $A$ be $n \times n$ matrix, $A^{n}$ = $A^{n-1}$ for $n \geq 1$ and $A^{0}=I$, Which of following is true?$A^{m}$ .$A^{n}$ =$A^{m+n}$ $(A^{m})^{n}=A^{mn}$ both A and B...

Let A be a $4 \times 4$ matrix with real entries such that $-1,1,2,-2$ are its eigen values. If $B=A^4- 5 \mathrm{~A}^2+5 I$ where $I$ denotes $4 \times 4$ identity matri...