What is $\left[\begin{array}{cc}-3& 2\\ 7& -2\end{array}\right]+\left[\begin{array}{cc}3& -6\\ -1& 4\end{array}\right]$?

For $A=\left[\begin{array}{ccc}1& 6& -3\\ 2& 7& -2\\ 3& -6& -1\end{array}\right]$, what is the element $a_{31}$, the entry in row 3 and column 1?

The system is 2x - 3y = 5 and 5x + y = 21. Which matrix equation represents it?

Solve the system 5x - 4y = 21 and 3x - 5y = 10 by writing it as AX = B and computing $A^{-1}$ B. What is the solution?

A is 3 x 2 and B is 3 x 2. What are the dimensions of the product AB?

A is 5 x 2 and B is 3 x 1. What are the dimensions of the product AB?

For $A=\left[\begin{array}{ccc}2& 7& -2\\ 3& -6& -1\\ 4& -5& 0\end{array}\right]$, what is the element $a_{32}$, the entry in row 3 and column 2?

What are the dimensions of $A=\left[\begin{array}{ccc}-5& 0& 5\\ -4& 1& 6\\ -3& 2& 7\\ -2& 3& -6\end{array}\right]$?

What is the determinant of $\left[\begin{array}{cc}-5& 6\\ 6& 2\end{array}\right]$?

What is the determinant of $\left[\begin{array}{cc}2& 4\\ -2& 7\end{array}\right]$?

What is the inverse of $\left[\begin{array}{cc}-3& -1\\ -5& -2\end{array}\right]$?

The system is 5x - 4y = -2 and 2x + 3y = 13. Which matrix equation represents it?

For what scalar k does $k\ast \left[\begin{array}{cc}-4& 1\\ 6& -3\end{array}\right]$ equal $\left[\begin{array}{cc}-24& 6\\ 36& -18\end{array}\right]$?

What is $\left[\begin{array}{ccc}6& -3& 2\\ 7& -2& 3\end{array}\right]-\left[\begin{array}{ccc}-6& -1& 4\\ -5& 0& 5\end{array}\right]$?

What is $\left[\begin{array}{cc}3& -6\\ -1& 4\end{array}\right]\ast \left[\begin{array}{cc}-5& 0\\ 5& -4\end{array}\right]$?

For $A=\left[\begin{array}{cc}-5& -3\\ -3& -2\end{array}\right]$, a student proposes $B=\left[\begin{array}{cc}-2& 3\\ 3& -5\end{array}\right]$. What product would confirm that B is the inverse of A?

What is the inverse of $\left[\begin{array}{cc}1& -2\\ 2& -3\end{array}\right]$?

For $A=\left[\begin{array}{ccc}-6& -1& 4\\ -5& 0& 5\end{array}\right]$ and $B=\left[\begin{array}{cc}-4& 1\\ 6& -3\\ 2& 7\end{array}\right]$, what is the entry of AB in row 1, column 2?

What is $\left[\begin{array}{cc}1& 6\\ -3& 2\end{array}\right]\ast \left[\begin{array}{cc}7& -2\\ 3& -6\end{array}\right]$?

The system is 2x + 2y = 10 and 3x + 5y = 17. Which matrix equation represents it?