Matrix MCQ - 2


30 Questions MCQ Test Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Matrix MCQ - 2


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This mock test of Matrix MCQ - 2 for Mathematics helps you for every Mathematics entrance exam. This contains 30 Multiple Choice Questions for Mathematics Matrix MCQ - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Matrix MCQ - 2 quiz give you a good mix of easy questions and tough questions. Mathematics students definitely take this Matrix MCQ - 2 exercise for a better result in the exam. You can find other Matrix MCQ - 2 extra questions, long questions & short questions for Mathematics on EduRev as well by searching above.
QUESTION: 1

For which value of x will the matrix   become singular.

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QUESTION: 2

A matrix is

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QUESTION: 3

 is a 3 X 3 matrix over the set of

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QUESTION: 4

If A = ,  then A2 is

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QUESTION: 5

1 x n matrices are called 

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QUESTION: 6

Let f(x) = x2 — 5x + 6 and A =  then f (A) is equal

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QUESTION: 7

 is called a

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QUESTION: 8

X = [X1, X2, ... , Xn] is an n — tuple non — zero vector. Then n x n matrix V = VX 

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QUESTION: 9

A submatrix of the given matrix can be obtained by deleting

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QUESTION: 10

Consider a non — homogeneous system of linear equation represented mathematically an over determined system. Such a system will be

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QUESTION: 11

Two matrices A and B are said to be comparable if

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QUESTION: 12

Consider the system of equation A(nxn)X(nx1) = λ nx1 where, λ is a scalar. Let, (λi, xi) be an eigen pair of an eigen value and its corresponding eigen vector for real matrix A. Let I be a (n x n) unit matrix. Which one of the following statements is not correct

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QUESTION: 13

If A =  and B =  then A x B =

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QUESTION: 14

Eigen values of a matrix S =  are 5 and 1. What is the eigen values of the matrix S2 = SS?

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QUESTION: 15

If A is non - scalar, non - identity idempotent matrix of order n ≥ 2. Then, minimal polynomial mA(x) is

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QUESTION: 16

If 4X =  then X

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QUESTION: 17

If A is a non scalar non identity idempotent matrix of order n≥2. the minimal polynomial mA(x) is

Solution:

Since A is idempotent A2 = A

A2 - A = 0

mA(x) = x2 - x

= x(x-1)

QUESTION: 18

If A =  and B =  then AB is a matrix of order

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QUESTION: 19

All the four entries of the 2 x 2 matrix P =  are non - zero, and one of its eigen values is zero . Which one of the following statements is true?

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QUESTION: 20

In the matrix equation PX = q, which of the following is necessary condition for the existence of atleast one solution for the unknown vector

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QUESTION: 21

If D1, Dare two diagonal matrices, then 

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QUESTION: 22

Matrix multiplication is

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QUESTION: 23

The rank of the following (n + 1 ) x (n + 1) matrix where a is the real number 

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R2→R2−R1,R3→R3−R1,R4→R4−R1, and so on

Rank of matrix = 1

QUESTION: 24

Multiplication of matrices E and F is G. Matrices E and G are as follows
 Then, the value of matrix F is

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QUESTION: 25

The linear operator L(x) is defined by the cross product L(x) = b x X, where b = [0 1 0]T and X = [x1 x2 x3]T are three dimensional vectors. The 3 x 3 matrix M o f this operation satisfies L (x ) =  Then, the eigen values of M are

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QUESTION: 26

Which one of the following is not an elementary operation?

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QUESTION: 27

Which one of the following statements is incorrect for an upper triangular matrix A = (aij)?

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QUESTION: 28

Mark the correct definition of rank of a matrix

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QUESTION: 29

The rank of matrix  a, b, c, being all real, is 3 if

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QUESTION: 30

Two matrics Aand B are said to anti — commute if

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