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Class 12 Maths Practice Test - Transpose of a Matrix
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Class 12 Maths Practice Test - Transpose of a Matrix
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10 Questions

1. If A=\(\begin{bmatrix}cos⁡x&-sin⁡x&-cos⁡x\\sin⁡x&-cos⁡x&sin⁡x \end{bmatrix}\). Find A’A.
2. Find the transpose of the matrix A=\(\begin{bmatrix}-1&2&\sqrt{3}\\-4&5&\sqrt{6}\\-7&8&-9\end{bmatrix}\)
3. Which of the following is not the property of transpose of a matrix?
4. If A=\(\begin{bmatrix}i&1\\0&i\end{bmatrix}\), then the correct relation is ___________
5. If P=\(\begin{bmatrix}-1&5\\8&3\end{bmatrix}\) and Q=\(\begin{bmatrix}4&2\\8&5\end{bmatrix}\). Find (2P+3Q’)’.
6. If matrix A=\(\begin{bmatrix}4&1\\6&2\end{bmatrix}\) and B=\(\begin{bmatrix}-1&3\\2&1\\6&6\end{bmatrix}\), then find A’ B’.
7. If A=\(\begin{bmatrix}2\\7\\8\end{bmatrix}\), B=\(\begin{bmatrix}-3&4&1\end{bmatrix}\), find (AB)’.
8. If A’=\(\begin{bmatrix}8&2\\6&4\end{bmatrix}\) and B’=\(\begin{bmatrix}9&5\\7&3\end{bmatrix}\). Find (A+2B)’.
9. Which of the following is the reversal law of transposes?
10. Find the transpose of A=\(\begin{bmatrix}1&-2\\-1&5\end{bmatrix}\).

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