Recent questions tagged goclasses-da-dpp

True or false: If the columns of a matrix $A$ are linearly independent, then the rows of $A$ must also be linearly independent.True FalseNOTE:- give answer as 0 if statem...

If $A$ is a square matrix, then for every eigenvalue of $A$,The geometric multiplicity is equal to the algebraic multiplicity.The geometric multiplicity is less than or e...

What is the inverse of the matrix $A$ given by:$$A=\left[\begin{array}{lll}1 & 0 & 0 \\2 & 1 & 0 \\0 & 0 & 1\end{array}\right]$$$A^{-1}=\left[\begin{array}{ccc}1 & -2 & 0...

Suppose $A$ is a $3 \times 3$ matrix with eigenvalues 0,2 and 7 . Then$A$ must be invertibleA must be non-invertibleNot enough information to tell

Let $A$ be a $3 \times 3$ matrix so that $A\left[\begin{array}{c}1 \\ 1 \\ -1\end{array}\right]=\left[\begin{array}{l}0 \\ 0 \\ 0\end{array}\right]$. Then $A$ can have no...

If A and B are square matrices of the same order, then $\operatorname{tr}(A B)=$$\operatorname{tr}(A+B)$ $\operatorname{tr}(A) \operatorname{tr}(B)$ $\operatorname{tr}(B ...

The determinant of the matrix $A=\left[\begin{array}{cccc}1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ -3 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1\end{array}\right]$ is:3 -3 1 -1

Is 1 an eigenvalue of the matrix$$\left[\begin{array}{lll}3 & 2 & 4 \\6 & 6 & 0 \\0 & 1 & 4\end{array}\right]$$YesNo

Which of the following vectors is an eigenvector for the matrix$$\left[\begin{array}{ll}2 & 1 \\0 & \frac{1}{2}\end{array}\right]$$with eigenvalue $\frac{1}{2}$ ?$\left[\...

Let $n$ be the number of ways in which $5$ boys and $5$ girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let $m$ be the numbe...

The total number of ways in which $5$ balls of different colours can be distributed among $3$ persons so that each person gets at least one ball is$75$$150$$210$$243$

In a school annual day function a variety programme was organised. It was planned that there would be $3$ short plays, $6$ recitals and $4$ dance programmes. However, the...

In a school annual day function a variety programme was organised. It was planned that there would be $3$ short plays, $6$ recitals and $4$ dance programmes. However, the...

In a school annual day function a variety programme was organised. It was planned that there would be $3$ short plays, $6$ recitals and $4$ dance programmes. However, the...