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The problem is asking to determine the values of \( a \) and \( b \) from the following matrix equation:

\[
\begin{bmatrix} 
a & -5 \\
3 & -b 
\end{bmatrix} 
=
\begin{bmatrix} 
2a & -11 \\
b & +9 
\end{bmatrix}
\]

To solve for \( a \) and \( b \), we can equate the corresponding elements of the two matrices. This gives us the following system of equations:

1. \( a = 2a \) (from the top-left elements)
2. \( -5 = -11 \) (from the top-right elements)
3. \( 3 = b \) (from the bottom-left elements)
4. \( -b = 9 \) (from the bottom-right elements)

### Solving these equations:

1. From \( a = 2a \), subtract \( a \) from both sides:
   \[
   0 = a
   \]
   So, \( a = 0 \).

2. \( -5 = -11 \) is a contradiction, so this equation does not hold, meaning there is no solution. The given matrix equality is inconsistent.

Thus, this system has **no solution** due to the contradictory equation \( -5 = -11 \).

Would you like more details or have any questions?

### Related Questions:
1. What is a matrix equation?
2. Can matrix equations have no solutions or infinite solutions?
3. How can I determine the solution set for a matrix equation?
4. What methods can I use to solve a system of matrix equations?
5. Can matrices of different sizes be equated?

**Tip:** When solving matrix equations, always check if the equations derived from corresponding elements are consistent.

Tentukan nilai a dan b Kesamaan matrik: \[\begin{bmatrix} a & -5 \\ 3 & -b \end{bmatrix} = \begin{bmatrix} 2a & -11 \\ b & +9 \end{bmatrix}\]

Learn how to solve for a and b in a matrix equation where two matrices are equated. This problem covers matrix algebra concepts and the rule that corresponding elements in equal matrices must be the same. Suitable for students in Grades 9-11.

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