Math Problem Statement
Jika A = (3 4, 2 -1) dan B = (0 3, 1 5), maka hasil dari A + B = ....
Solution
The problem provides two matrices, and , and asks for the result of their addition, .
Given:
\quad \text{and} \quad B = \begin{pmatrix} 0 & 3 \\ 1 & 5 \end{pmatrix}$$ The sum of two matrices is found by adding corresponding elements from both matrices. So, let's compute: $$A + B = \begin{pmatrix} 3+0 & 4+3 \\ 2+1 & -1+5 \end{pmatrix}$$ $$A + B = \begin{pmatrix} 3 & 7 \\ 3 & 4 \end{pmatrix}$$ Thus, the result of $$A + B$$ is: $$\boxed{\begin{pmatrix} 3 & 7 \\ 3 & 4 \end{pmatrix}}$$ Let me know if you'd like more details or have any questions! Here are some related questions: 1. How do you perform matrix subtraction? 2. What happens when you multiply matrices instead of adding them? 3. Can matrix addition be performed with matrices of different dimensions? 4. What are the properties of matrix addition? 5. How would the solution change if one of the matrix elements were zero matrices? **Tip**: When adding matrices, always ensure that both matrices have the same dimensions.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrix Addition
Formulas
Matrix addition: A + B = (a11 + b11 a12 + b12; a21 + b21 a22 + b22)
Theorems
Matrix addition is defined for matrices of the same dimension.
Suitable Grade Level
Grades 10-12