Matrices

What is the order of a matrix having 3 rows and 4 columns?

If A = \(\begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix}\) and B = \(\begin{bmatrix}5 & 6 \\ 7 & 8\end{bmatrix}\), what is A + B?

Which of the following matrices is a square matrix?

If A = \(\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}\), what is 3A?

Which of the following is the zero matrix of order 2 × 3?

If A = \(\begin{bmatrix}1 & 2 & 3 \\ 4 & 5 & 6\end{bmatrix}\) and B = \(\begin{bmatrix}7 & 8 \\ 9 & 10 \\ 11 & 12\end{bmatrix}\), what is the order of the product AB?

Calculate the element in the first row and second column of AB if A = \(\begin{bmatrix}1 & 0 & 2 \\ -1 & 3 & 1\end{bmatrix}\) and B = \(\begin{bmatrix}3 & 1 \\ 2 & 1 \\ 1 & 0\end{bmatrix}\).

If A is a 3 × 2 matrix and B is a 2 × 3 matrix, what is the order of the matrix AB and BA respectively?

Given matrices A = \(\begin{bmatrix}2 & -1 \\ 0 & 3\end{bmatrix}\) and B = \(\begin{bmatrix}1 & 4 \\ 5 & 2\end{bmatrix}\), find AB.

If A = \(\begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix}\), what is the transpose of A + Aᵗ?