https://r2.erweima.ai/mathbot/image/1722272846081b1fdwyvb.pdf

resolver as questões com os cálculos e respostas 

To solve the questions from the document, we'll start with the first one:

### 1) Classifique as matrizes abaixo.

Since the specific matrices are not visible in the extracted text, I will provide general guidelines on how to classify matrices. If you can provide the actual matrices from the document, I can give specific classifications.

#### Types of Matrices:
1. **Square Matrix**: A matrix with the same number of rows and columns (e.g., 3x3, 4x4).
2. **Rectangular Matrix**: A matrix with a different number of rows and columns (e.g., 3x2, 4x3).
3. **Diagonal Matrix**: A square matrix where all elements outside the main diagonal are zero.
4. **Identity Matrix**: A diagonal matrix where all the elements on the main diagonal are 1.
5. **Zero Matrix**: A matrix where all elements are zero.
6. **Symmetric Matrix**: A square matrix that is equal to its transpose.
7. **Skew-Symmetric Matrix**: A square matrix that is equal to the negative of its transpose.
8. **Upper Triangular Matrix**: A square matrix where all elements below the main diagonal are zero.
9. **Lower Triangular Matrix**: A square matrix where all elements above the main diagonal are zero.

Please provide the matrices, and I can give their specific classifications.

### 2) 

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### 3) 

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### 4) 

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### 5) 

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If you provide the specific matrices or additional details for each question, I can solve them with complete calculations and explanations.

Do you want details or have any questions? Here are some related questions to further explore the topics:

1. What are the properties of a symmetric matrix?
2. How do you determine if a matrix is invertible?
3. What is the determinant of a matrix, and how is it computed?
4. How can you find the eigenvalues of a matrix?
5. What are the applications of diagonal matrices in real-world problems?
6. How do you perform matrix multiplication?
7. What is the significance of the rank of a matrix?
8. How are linear transformations represented using matrices?

**Tip:** When classifying matrices, always check for special properties like symmetry, diagonal elements, and whether it's a square matrix or not.

Explore matrix classification and detailed solutions for specific questions involving matrices. Learn about square matrices, diagonal matrices, identity matrices, and more. Suitable for advanced high school or college-level students.

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