Question

Determine whether the following matrices are equal: \[A=\begin{bmatrix}2&3\\1&5\end{bmatrix}\quad\text{and}\quad B=\begin{bmatrix}2&3\\1&5\end{bmatrix}.\]

Options

• \[A\ne B\] because the matrices contain repeated entries.

• \[A=B\]

• \[A\ne B\] because both matrices have order \[2\times2\].

• \[A\ne B\] because corresponding elements cannot be compared.

Answer 1

Both matrices have order \[2\times2\]. Their corresponding elements are equal: \[2=2\], \[3=3\], \[1=1\], and \[5=5\].