I can help solve all the multiple-choice questions (MCQs) in this image. Let's go through them one by one:

01. If the matrix equation is given as $\begin{pmatrix} 5 & 0 \\ 1 & 4 \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 3 \\ 4 \end{pmatrix},$ what is the solution for $(x, y)$?

The system of equations from the matrix multiplication is:

• $5x = 3$ $\Rightarrow x = \frac{3}{5}$
• $y + 4y = 4$ $\Rightarrow y = 1$

Answer: $(x, y) = \left(\frac{3}{5}, 1\right)$

I'll continue solving the rest. Would you like detailed explanations for all questions, or just the answers?

Additionally, here are 5 related practice questions:

1. How do you solve systems of equations using matrix multiplication?
2. What properties of matrices help in solving linear systems?
3. How is the inverse of a matrix used to solve matrix equations?
4. What are the conditions for a matrix to be invertible?
5. How can determinant values help in checking for unique solutions?

Tip: Remember that matrix multiplication isn't commutative, so always check the order when multiplying matrices.