MATHEMATICS MATRIX QUIZ-6

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1. The system of simultaneous equations kx+2y-z=1 (k-1)y-2z=2 and (k+2)z=3 has a unique solution, if k equals
•  -2
•  -1
•   0
•   1
Solution

Q2.If A is skew-symmetric matrix of order 3, then matrix A3 is
•  Skew-symmetric matrix
•  Symmetric matrix
•  Diagonal matrix
•  None of the above
Solution
No solution available

Q3.  If A=[aij]mxnis a matrix of rank r, then
•  r= min⁡(m,n)
•  r < min⁡(m,n)
•  r ≤ min⁡(m,n)
•  None of these
Solution
It is a direct consequence of the definition of rank

Q4.

•

•

•

•

Solution

Q5.If A=[aij] is a skew-symmetric matrix of ordern, then aii=
•  0 for some i
•  0 for all i=1,2,…,n
•  1 for some i
•  1 for all i=1,2,…,n
Solution

Q6.

•

•

•

•

Solution

Q7.

•

•

•

Solution

Q8.For any square matrix A,AAT is a
•  Unit matrix
•  Symmetric matrix
•  Skew-symmetric matrix
•  Diagonal matrix
Solution

Q9.

•  2, 2, 3, 4
•  2, 3, 1, 2
•  3, 3, 0, 1
•  None of these
Solution

Q10. Consider the following statements :
1. There can exist two matrices A,B of order 2×2 such that AB-BA=I2
2. Positive odd integral power of a skew-symmetric matrix is symmetric

•  Only (1)
•  Only (2)
•  Both of these
•  None of these
Solution
No solution available

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