Math Problem Statement
Diberikan matriks A = [2 3; 1 4] dan matriks B = [1 2; 5 6]. Apa hasil dari A + B?
Solution
The image shows two matrices, and , and the question asks for the result of .
Matrix Addition
Matrix addition is done element-wise. That means, to add two matrices, you add their corresponding elements. The matrices and are both 2x2 matrices, so we can add them as follows:
Thus, the result of is .
This matches option a from the image.
Would you like more details on matrix operations? Here are 5 additional questions to explore:
- How do you subtract two matrices?
- What is matrix multiplication and how does it differ from matrix addition?
- Can you explain the conditions under which matrix addition is possible?
- How do scalar multiplication and matrix addition interact?
- What are some real-world applications of matrix operations?
Tip: When adding or subtracting matrices, they must be of the same dimension.
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Math Problem Analysis
Mathematical Concepts
Matrix addition
Linear algebra
Formulas
Matrix addition: A + B = [a_11 + b_11, a_12 + b_12; a_21 + b_21, a_22 + b_22]
Theorems
Matrix element-wise addition
Suitable Grade Level
Grades 9-12