Recent questions tagged goclasses-da-dpp-day-124

If rank of a $3 \times 4$ matrix $A$ is $2$ and $P$ is a non-singular matrix of order $4$ then rank of the matrix $AP$ is $\_\_\_\_$$2$ $<2$ $\leq 2$ $>2$

Consider a matrix $A=\begin{bmatrix} a&a^{2} &a^{3}-1 \\ b& b^{2} &b^{3}-1 \\ c& c^{2}&c^{3}-1 \end{bmatrix}$ if $|A|=0$, then the value of $abc$ is _______________.

Consider the following matrix: $$A = \begin{bmatrix} 1.5&0 &1 \\ -0.5 & 0.5& -0.5\\ -0.5& 0 & 0 \end{bmatrix}$$The eigen values of the above matrix are:$-0.5, ~0.5, ~1.5...

Let $A$ be a $3 \times 3$ matrix with integer entries such that $|A| =1$. What is the maximum possible number of entries of $A$ that are even?

A matrix $M$ has Eigen values $1$ & $4$ with Eigen vectors $\begin{pmatrix} 1\\ -1 \end{pmatrix}$ and $\begin{pmatrix} 2\\ 1 \end{pmatrix}$ respectively. The matrix $M$ i...