Home
Class 12
MATHS
The matrices which commule with A=[{:(1,...

The matrices which commule with `A=[{:(1,1),(0,1):}]` in case of multiplication
STATEMENT - 1 : Are always singular.
STATEMENT -2 : Are always non-singular.
STATEMENT -3 : Are always symmetric

A

FFF

B

TTF

C

TTT

D

TFT

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - I|5 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - G|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

STATEMENT- 1 Image fromed by a concave mirror is always smaller in size. STATEMENT 2 It is always virtual.

STATEMENT-1 : An oscillatory motion is always simple harmonic motion. STATEMENT-2 : A simple harmonic motion is always oscillatory motion.

STATEMENT-1 : The total momentum of a system in C -frame is always zero. and STATEMENT-2 : The total kinetic energy of a system in C -frame is always zero.

Consider the matrix A=[{:(0,-h,-g),(h,0,-f),(g,f, 0):}] STATEMENT-1 : Det A = 0 STATEMENT-2 :The value of the determinant of a skew symmetric matrix of odd order is always zero.

If A, B are square matrices of order 3, A is non-singular and AB=0, then B is a

If A_n = P_n + 1 , where P_n is the product of the first n prime numbers, then consider the following statements : 1. A_n is always a composite number. 2. A_n + 2 is always an odd number. 3. A_n +1 is always an even number. Which of the above statements is/are correct ?

STATEMENT -1 : the surface of a charged conductior is always equipotential . STATEMENT -2 : Electic field lines are always perpendicular to the equipotential surface.

If A^(2)+A+I=0, then A is non-singular A!=0(b) A is singular A^(-1)=-(A+I)

Let A and B be two matrices of order n xx n. Let A be non-singular and B be singular. Consider the following : 1. AB is singular 2. AB is non-singular 3. A^(-1) B is singular 4. A^(-1) B is non singular Which of the above is/are correct ?

Knowledge Check

  • STATEMENT- 1 Image fromed by a concave mirror is always smaller in size. STATEMENT 2 It is always virtual.

    A
    STATEMENT -`1`is true statement `2` is true,Statement -`2`is a correct explanation for statement -`1`
    B
    STATEMENT -`1`is true statement `2` is true,Statement -`2`is a not a correct explanation for statement -`1`
    C
    Statement -`1`is true,Statement -`2`is False
    D
    Statement -`1`is False ,Statement -`2`is True

  • STATEMENT-1 : An oscillatory motion is always simple harmonic motion. STATEMENT-2 : A simple harmonic motion is always oscillatory motion.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement-2 is True.

  • STATEMENT-1: Boron always forms covalent bond. and STATEMENT-2: The small size of B favours formation of covalent bond

    A
    STATEMENT-1 is True, STATEMENT-2 is True, STATEMENT-2 is a correct explanation for STATEMENT-1.
    B
    STATEMENT-1 is True, STATEMENT-2 is True, STATEMENT-2 is NOT a correct explanation for STATEMENT-1
    C
    STATEMENT-1 is True, STATEMENT-2 is False.
    D
    STATEMENT-1 is False, STATEMENT-2 is True.