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### 1. Find a matrix \( A \) such that:
\[
\begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix} A = \begin{bmatrix} 3 & 0 \\ 1 & 2 \end{bmatrix}
\]

This is a matrix equation of the form \( BA = C \), where \( B \) and \( C \) are known, and \( A \) is the unknown matrix. To solve for \( A \), we need to compute:
\[
A = B^{-1}C
\]
where \( B^{-1} \) is the inverse of matrix \( B \). Once we compute the inverse, we multiply

Find a matrix A such that [2 3; 1 4]A = [3 0; 1 2] and find a matrix A such that [1 3 2; 2 1 1; 4 0 3]A = [7 1 3; 1 0 3; -1 -3 7].

Learn how to find matrix A in two matrix equations using concepts from linear algebra. The first equation involves a 2x2 matrix, while the second one involves a 3x3 matrix. Key concepts include matrix multiplication and matrix inverse. Suitable for undergraduate students.

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