Math Problem Statement
Find x and y in the matrix equation:
[ -5 x ] = [ -5 19 ]
[ y 9 ] [ 18 9 ]
Solution
The given matrix equation is:
-5 & x \\ y & 9 \end{pmatrix} = \begin{pmatrix} -5 & 19 \\ 18 & 9 \end{pmatrix}$$ To find the values of $$x$$ and $$y$$, we equate the corresponding elements of both matrices: 1. From the first row, second column: $$x = 19$$ 2. From the second row, first column: $$y = 18$$ Thus, the solution is: $$x = 19 \quad \text{and} \quad y = 18$$ Would you like any further details or explanations? Here are some related questions you might want to explore: 1. What are the properties of matrix equality? 2. Can you solve a system of equations using matrices? 3. How do you perform matrix multiplication? 4. What is the inverse of a matrix? 5. How do you solve for unknowns in a system of linear equations? **Tip:** When working with matrix equations, always ensure the matrices are of the same dimensions before comparing corresponding elements.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrices
Matrix Equality
Formulas
Equality of matrices: Two matrices are equal if and only if all their corresponding elements are equal.
Theorems
Matrix Equality
Suitable Grade Level
Grades 8-10