## MATHEMATICS MATRIX QUIZ-7

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 is a skew-symmetric matrix and n is a positive integer, then An is
•  A symmetric matrix
•  Skew-symmetric matrix
•  Diagonal matrix
•  None of these
Solution

Q2.A matrix A=|aij | is an upper triangular matrix, if
•  It is a square matrix and aij=0,i
•  It is a square matrix and aij=0,i>j
•  It is not a square matrix and aij=0,i>j
•  It is not a square matrix and aij=0,i
Solution
No solution available

Q3.  Let a,b,c be any real numbers. Suppose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx, and z=bx+ay have non-zero solution. Then, a2+b2+c2+2 abc is equal to
•   1
•   2
•  -1
•   0
Solution

Q4.

•  A is orthogonal matrix
•  A' is orthogonal matrix
•  Determinant A=1
•  A is not invertible
Solution

Q5.

•  4
•  16
•  64
•  256
Solution

Q6. For what value of Î»,the system of equations x+y+z=6,x+2y+3z=10,x+2y+Î»z=10 is consistent?
•  1
•  2
•  -1
•  3
Solution

Q7.

•  0
•  Multiple of Ï€
•  An odd multiple of Ï€/2
•  None of the above
Solution

Q8.

• Unit matrix
•  Null matrix
•  Diagonal matrix
•  None of these
Solution

Q9.If A,B are symmetric matrices of the same order then AB-BA is
•  Symmetric matrix
•  Skew-symmetric matrix
•  Null matrix
•  Unit matrix
Solution

Q10.

•  A(Î¸)
•  A(Î¸/2)
•  A(-Î¸)
•  A(-Î¸/2)
Solution

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