## MATHEMATICS MATRIX QUIZ-9

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,B are two square matrices such that AB=A and BA=B, then
•  A,B are idempotent
•  Only A is idempotent
•  Only B is idempotent
•  None of these
Solution

Q2.

•  -5
•  -1
•  -3
•  -4
Solution

Q3.

•  F(-Î±)
•  F(Î±-1
•  F(2 Î±)
•  None of these
Solution

Q4.

•  -3
•   3
•   0
•   For any value of b
Solution

Q5.

•  Ï‰2 A
•  Ï‰A
•  A
•  0
Solution

Q6. If A is a symmetric matrix and n Ïµ N, then Anis
•  Symmetric matrix
•  A diagonal matrix
•  Skew-symmetric matrix
•  None of the above
Solution

Q7.The number of solutions of the system of equations 2x+y-z=7,x-3y+2z=1,x+4y-3z=5 is
• 0
•  1
•  2
•  3
Solution

Q8.From the matrix equation AB=AC we can conclude B=C provided that
• A is singular
•  A is non-singular
•  A is symmetric
•  A is square
Solution

Q9.x1+2x2+3x3=2x1+3x2+x3=3x1+x2+2x3=0. This system of equations has
•  Infinite solution
•  No solution
•  Unique solution
•  None of these
Solution

Q10. For non-singular square matrices A,B and C of same order, (AB-1 C)-1 is equal to
•  A-1 BC-1
•  C-1 B-1 A-1
•  CB-1 A-1
•  C-1 BA-1
Solution

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