## MATHEMATICS MATRIX QUIZ-8

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. If A and B are square matrices of order 3×3 , then which of the following is true?
•  AB=O⇒A=O or B=O
•  det (2AB)=8 det (A) det (B)
•  A2-B2=(A+B)(A-B)
•  det (A+B)=det (A)+det (B)
Solution

Q2.The inverse of a symmetric matrix is
•  Symmetric
•  Skew-symmetric
•  Diagonal matrix
•  None of these
Solution

Q3.

•  0
•  2/3
•  5/4
•  -4/5
Solution

Q4.

•  sin⁡xcos⁡x
•  1
•  2
•  3
Solution

Q5.

•    80
•   100
•  -110
•    92
Solution

Q6. If A is a square matrix or order n×n, then adj(adj A) is equal to
•  |A|n A
•  |A|n-1A
•  |A|n-2A
•  |A|n-3A
Solution

Q7.If A and B are matrics such that AB and A+B both are defined, then
• A and B can be any two matrices
•  A and B are square matrices not necessarily of the same order
•  A,B are square matrices of the same order
•  Number of columns of A is same as the number of rows of B
Solution
No solution available

Q8.If  A  is square  matrix, then
•  A+AT is symmetric
•  AAT is skew-symmetric
•  AT+A is skew-symmetric
•  AT A is skew-symmetric
Solution

Q9.The values of a for which the system of equations x+y+z=0,x+ay+az=0,x-ay+z=0, possesses non-           zero solutions, are given by
•  1, 2
•  1,-1
•  1,0
•  None of these
Solution

Q10.

•  A(z)=A(x)A(y)
•  A(z)=A(x)-A(y)
•  A(z)=A(x) [A(y) ]-1
•  A(z)=A(x)+A(y)
Solution

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