Math Problem Statement

kerjakan contoh soal tersebut menggunakan cara

Kerjakan contoh soal tersebut menggunakan cara

Solution

So, the problem in the image involves matrix addition. You are given two matrices, AA and BB, and need to find A+BA + B.

Matrix AA is: A=[2311]A = \begin{bmatrix} 2 & 3 \\ 1 & 1 \end{bmatrix}

Matrix BB is: B=[5623]B = \begin{bmatrix} 5 & 6 \\ 2 & 3 \end{bmatrix}

To add these two matrices, you simply add the corresponding elements:

A+B=[2+53+61+21+3]A + B = \begin{bmatrix} 2 + 5 & 3 + 6 \\ 1 + 2 & 1 + 3 \end{bmatrix}

This simplifies to: A+B=[7934]A + B = \begin{bmatrix} 7 & 9 \\ 3 & 4 \end{bmatrix}

So the result of A+BA + B is: [7934]\begin{bmatrix} 7 & 9 \\ 3 & 4 \end{bmatrix}

Let me know if you'd like a more detailed explanation, or if you have any further questions!

Related Questions:

  1. How does matrix addition work for matrices of different sizes?
  2. What happens if we try to add matrices with different numbers of rows or columns?
  3. Can you perform matrix subtraction with the same matrices?
  4. What is the difference between matrix addition and matrix multiplication?
  5. How do you determine if two matrices can be added together?

Tip: Always ensure the matrices you are adding have the same dimensions (same number of rows and columns) before proceeding.

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Math Problem Analysis

Mathematical Concepts

Matrix Operations
Matrix Addition

Formulas

Matrix addition: C[i][j] = A[i][j] + B[i][j]

Theorems

Matrix Addition Theorem

Suitable Grade Level

Grades 10-12