Math Problem Statement
Tentukan nilai x pada persamaan berikut ini:
1. \( \begin{pmatrix} 2x & x \\ x & -3 \end{pmatrix} - \begin{pmatrix} -3 & 4 \\ -2 & 1 \end{pmatrix} = 0 \)
2. \( \begin{pmatrix} x+1 & 4 \\ 2x & x \end{pmatrix} = \begin{pmatrix} 6 & -6 \\ 5 & x \end{pmatrix} \)
3. \( \begin{pmatrix} 3x & 2 \\ x & 1 \end{pmatrix} = -7x - 4 \)
Solution
The image contains three matrix equations. Let's go through each one and solve for .
Problem 1
To solve, we can rewrite this as:
Equate corresponding elements:
- (inconsistent)
From these, we can see that there is inconsistency, so we’ll re-evaluate based on additional matrix operations if needed.
Problem 2
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Math Problem Analysis
Mathematical Concepts
Matrix Equations
Algebra
System of Linear Equations
Formulas
Matrix equality: if \( A = B \), then corresponding elements of matrices A and B are equal.
Solving linear equations to find values of x.
Theorems
Matrix equality property
Suitable Grade Level
Grades 10-12