## MATHEMATICS MATRIX QUIZ-3

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. A and B are two square matrices of same order and A' denotes the transpose of A, then
•  (AB)=B'A'
•  (AB)'=A'B'
•  AB=0⇒|A|=0 or |B|=O
•  AB=0⇒A=0 or B=0
Solution
No solution available

Q2.Let for any matrix M,M-1 exist which of the following is not true?
•  |M-1 |=|M|-1
•  (M2 )-1=(M-1 )2
•  (MT)-1=(M-1 )T
•  (M-1 )-1=M
Solution

Q3.

•  1
•  2
•  3
•  4
Solution

Q4. The system of equation,
x+y+z=6
x+2y+3z=10
And x+2y+Î» z=Î¼
Has no solution, if
•  Î»=3,Î¼=10
•  Î»≠3,Î¼=10
•  Î»≠3,Î¼≠10
•  Î»=3,Î¼≠10
Solution

Q5.

•  5A
•  10A
•  16A
•  32A
Solution

Q6.

•  1
•  0
•  logab
•  logba
Solution

Q7.If A=[aij] is a 4×4 matrix and Cij is the cofactor of the element aij in |A|, then the expression a11               C11+a12 C12+a13 C13+a14 C14 is equal to
•   0
•  -1
•   1
•   |A|
Solution

Q8.Matrix A such that A2=2A-I, where I is the identity matrix. Then, for n≥2,An is equal to
•  nA-(n-1)I
•  nA-I
•  2n-1 A-(n-1)I
•  2n-1 A-I
Solution

Q9.

•

•

•

•  None of these
Solution
No solution available

Q10.

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

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