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What is the value of x in the solution of the matrix equation below? [1 2 -1 -3] [x y] [-1 -2].

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Final answer:

The matrix equation provided by the student is not complete, so the exact value of x cannot be determined. However, I explained how to solve for x in a 2x2 matrix multiplied by a 2x1 matrix of variables equal to a 2x1 matrix of constants using an illustrative example.

Step-by-step explanation:

The student provided a matrix equation and asked for the value of x in the solution. Unfortunately, the question seems to contain some errors, and the provided matrix equation is not in a clear format. However, I will demonstrate how to solve for x using a system of equations for a similar problem, where we have a 2x2 matrix multiplied by a 2x1 matrix of variables equal to a 2x1 matrix of constants:

Consider the matrix equation:

[A B]
[C D] [x]
[y] = [E]
[F]

To find the value of x, you would perform the following operations:

  1. Solve the first row of the matrix equation by multiplying A with x and B with y, and setting this equal to E. This gives us Ax + By = E.
  2. Solve the second row of the matrix equation similarly with Cx + Dy = F.
  3. Using these two equations, we can solve for x and y by either substitution or elimination method to find the specific values that satisfy the matrix equation.

For example, if the system is, 1x + 2y = -1 and -1x - 3y = -2, we could solve for x by adding the two equations to eliminate y, resulting in x = -3.

To relate this back to the student's question, without the correct matrix or additional context, providing the accurate value of x is not possible. An understanding of the method, however, is what's important and can be applied to the correct equation when known.

User Mital Solanki
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