Question - Matrix Equations and Investment Problem Solving

The image quality does not allow for a complete transcription of the problems, but I can guide you through the general steps for solving a problem similar to the first one, which involves matrix equations:

To solve a matrix equation of the form \( AX = B \), where \( A \) and \( B \) are known matrices and \( X \) is the unknown matrix:

1. Find the inverse of matrix \( A \), denoted as \( A^{-1} \), assuming that it exists.

2. Multiply both sides of the equation by \( A^{-1} \) on the left to obtain \( A^{-1}AX = A^{-1}B \).

3. Simplify the left side to get \( IX = A^{-1}B \), where \( I \) is the identity matrix.

4. Since multiplying by the identity matrix does not change the matrix, we have \( X = A^{-1}B \).

5. Compute \( A^{-1}B \) to find the matrix \( X \).

For the problem related to investment, which seems to be a word problem with a financial context:

1. Set up the problem by defining the variables and writing down the given information.

2. Write down the equations that represent the investment situation described in the problem.

3. Solve the system of equations using appropriate techniques such as substitution, elimination, or matrix methods if applicable.

4. Interpret the solution in the context of the problem to find the required information about the investment.

Without the full text of the problems, I cannot provide an exact solution. If you can provide a clearer image or transcribe the text, I'll be able to assist you better.