Math Problem Statement

A+B

A + B

Solution

The sum of matrices AA and BB is:

24 & 22 & 13 & 15 \\ 69 & 9 & 11 & 2 \\ 206 & -22 & 12 & 34 \\ -36 & 7 & 15 & 26 \end{bmatrix}$$ Would you like more details, or do you have any other questions? Here are 5 related questions you may want to explore: 1. How do we subtract two matrices, and what would $$A - B$$ look like? 2. Can you explain the properties of matrix addition? 3. How would you multiply matrices $$A$$ and $$B$$, and is matrix multiplication commutative? 4. What is the determinant of matrix $$A$$? 5. What does the inverse of matrix $$B$$, if it exists, look like? **Tip:** For matrix operations like addition and subtraction, both matrices must have the same dimensions.

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Math Problem Analysis

Mathematical Concepts

Matrix Addition

Formulas

Matrix Addition Formula: C[i,j] = A[i,j] + B[i,j]

Theorems

Associative Property of Matrix Addition
Commutative Property of Matrix Addition

Suitable Grade Level

Grades 10-12