Matrix Equations and Investment Problem Solving
<p>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:</p>
<p>To solve a matrix equation of the form \( AX = B \), where \( A \) and \( B \) are known matrices and \( X \) is the unknown matrix:</p>
<p>1. Find the inverse of matrix \( A \), denoted as \( A^{-1} \), assuming that it exists.</p>
<p>2. Multiply both sides of the equation by \( A^{-1} \) on the left to obtain \( A^{-1}AX = A^{-1}B \).</p>
<p>3. Simplify the left side to get \( IX = A^{-1}B \), where \( I \) is the identity matrix.</p>
<p>4. Since multiplying by the identity matrix does not change the matrix, we have \( X = A^{-1}B \).</p>
<p>5. Compute \( A^{-1}B \) to find the matrix \( X \).</p>
<p>For the problem related to investment, which seems to be a word problem with a financial context:</p>
<p>1. Set up the problem by defining the variables and writing down the given information.</p>
<p>2. Write down the equations that represent the investment situation described in the problem.</p>
<p>3. Solve the system of equations using appropriate techniques such as substitution, elimination, or matrix methods if applicable.</p>
<p>4. Interpret the solution in the context of the problem to find the required information about the investment.</p>
<p>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.</p>
