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Class 12 Mathematics: Matrices
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MCQs on matrices, matrices types and operations, matrix transpose, invertible matrices, matrix transformation, symmetric and skew symmetric matrices.

Class 12 Mathematics: Matrices
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25 Questions

1. The following column matrix operations are applied on a column matrix A=\(\begin{bmatrix}-7&2&6\\-2&3&-5\\2&1&3\end{bmatrix}\)
C2→2C1+C2
C3→3C1+2C3
2. In a matrix with 9 elements, then the possible ordered pairs are (3, 3), (1, 9), (9, 1).
3. Which of the following is not the property of transpose of a matrix?
4. Consider the matrix A=\(\begin{bmatrix}2&4&5\\1&6&4\\2&8&9\end{bmatrix}\). Find the element a32.
5. The matrix A=\(\begin{bmatrix}4\\12\\36\end{bmatrix}\) is _____________
6. If A=\(\begin{bmatrix}2\\7\\8\end{bmatrix}\), B=\(\begin{bmatrix}-3&4&1\end{bmatrix}\), find (AB)’.
7. If A=\(\begin{bmatrix}i&1\\0&i\end{bmatrix}\), then the correct relation is ___________
8. State whether the given statement is true or false.
The matrix A = \(\begin{bmatrix}0&0\\0&0\end{bmatrix}\)
9. Given a matrix A=\(\begin{bmatrix}2&3&9\\3&9&6\\1&6&7\end{bmatrix}\), which of the elements aij follows the condition i=j.
10. Find the inverse of matrix A=\(\begin{bmatrix}5&1&3\\4&2&6\\5&4&2\end{bmatrix}\)
11. The following operation is applied on a matrix A=\(\begin{bmatrix}2&3\\6&4\end{bmatrix}\)
R1→R1+R2
Which of the following will be the resulting new matrix?
12. If A=\(\begin{bmatrix}a&b\\c&d\end{bmatrix}\), then which of the following is skew-symmetric?
13. Find a,b,c,d if \(\begin{bmatrix}a&b+c\\c+d&b\end{bmatrix}\)=\(\begin{bmatrix}3&2\\3&-1\end{bmatrix}\) are equal matrices.
14. Find the transpose of the matrix A=\(\begin{bmatrix}-1&2&\sqrt{3}\\-4&5&\sqrt{6}\\-7&8&-9\end{bmatrix}\)
15. Find the inverse of the matrix A=\(\begin{bmatrix}8&5\\4&1\end{bmatrix}\).
16. Which of the following matrices is both symmetric and skew symmetric?
17. Which of the following matrices will not have an inverse?
18. The following elementary operations are applied to the matrix A=\(\begin{bmatrix}4&5&2\\6&7&1\\3&9&5\end{bmatrix}\)
R1→2R1+3R2
R2→3R2-2R3
Which among the following will be the new matrix?
19. Find the transpose of A=\(\begin{bmatrix}1&-2\\-1&5\end{bmatrix}\).
20. Which of the following conditions holds true for a symmetric matrix?
21. Which of the following is not a type of matrix?
22. Any square matrix can be expressed as a sum of symmetric and skew-symmetric matrix.
23. Find the value of x and y if 2\(\begin{bmatrix}5&x\\y-4&6\end{bmatrix}\)+\(\begin{bmatrix}-4&1\\3&2\end{bmatrix}\)=\(\begin{bmatrix}6&3\\10&14\end{bmatrix}\)?
24. Which of the following conditions holds true for a skew-symmetric matrix?
25. Which of the following formula is incorrect?

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