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Class 12 Maths Practice Test - Symmetric and Skew Symmetric Matrices
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Class 12 Maths Practice Test - Symmetric and Skew Symmetric Matrices
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10 Questions

1. Which of the following matrices is both symmetric and skew symmetric?
2. Which of the following conditions holds true for a symmetric matrix?
3. If A=\(\begin{bmatrix}1&0\\0&1\end{bmatrix}\), then which of the following statement is incorrect?
4. If A=\(\begin{bmatrix}a&b\\c&d\end{bmatrix}\), then which of the following is skew-symmetric?
5. Which of the following conditions holds true for a skew-symmetric matrix?
6. The matrix A=\(\begin{bmatrix}0&1&1\\1&0&-1\\-1&1&0\end{bmatrix}\) is symmetric.
7. Any square matrix can be expressed as a sum of symmetric and skew-symmetric matrix.
8. The matrix A=\(\begin{bmatrix}2&9\\2&6\end{bmatrix}\) as a sum of symmetric and skew-symmetric matrix is ______
9. The matrix A=\(\begin{bmatrix}0&1&-1\\-1&0&1\\1&-1&0\end{bmatrix}\) is __________
10. The matrix A=\(\begin{bmatrix}1&2\\2&1\end{bmatrix}\) is a ____________

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