MATRIX-QUIZ-4

MATHEMATICS MATRIX QUIZ-4

Dear Readers,

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. 

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Solution

 

Q2.

•  4
•  3
•  2
•  1

Solution

Q3.  If A=[a_ij ]_2x2, where a_ij=i+j, then A is equal to

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Solution

Q4. 

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Solution

Q5.

•    5
•    25
•  -1
•   1

Solution

Q6. Consider the system of linear equations
        x₁+2x₂+x₃=3
        2x₁+3x₂+x₃=3
        3x₁+5x₂+2x₃=1
        The system has

•  Infinite number of solutions
•  Exactly 3 solutions
•  log_aA unique solution
•  No solution

Solution

Q7.A and B be 3×3 matrices. Then, AB=O implies

• A=O and B=O
•  |A|=O and |B|=O
•  Either |A|=O or |B|=O
•  A=O or B=O

Solution

Q8.Which of the following is/are incorrect? (i) adjoint of a symmetric matrix is symmetric
        (ii) adjoint of a unit matrix is a unit matrix
        (iii) A(adj A)=(adj A)A=|A|I
        (iv) adjoint of a diagonal matrix is a diagonal matrix

•  (i)
•  (ii)
•  (iii) and (iv)
•  None of these

Solution
No solution available

Q9.

•  [20]
•  20
•  [-20]
•  -20

Solution

Q10. 

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Solution