Home
Class 12
MATHS
If A is a diagonal matrix of order 3xx3 ...

If `A` is a diagonal matrix of order `3xx3` is commutative with every square matrix or order `3xx3` under multiplication and `t r(A)=12 ,` then the value of `|A|^(1//2)` is ______.

A

A diagonal matrix with atleast two diagonal elements different

B

A scalar matrix

C

A unit matrix

D

A diagonal matrix with exactly two diagonal elements different

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - C) Objective Type Questions (More than one options are correct)|7 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - D) Linked Comprehension Type Questions|3 Videos

  • MATRICES

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|30 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

If A is a diagonal matrix of order 3xx3 is commutative with every square matrix or order 3xx3 under multiplication and tr(A)=12, then the value of |A|^(1/2) is

If A is a diagonal matrix of order 3xx3 is commutative with every square matrix of order 3xx3 under multiplication and trace (A)=12, then

Write a matrix of order 3xx3 in which every element is equal to 3.

If A is any square matrix of order 3xx3 such that |A|=3 , then the value of |adjA| is ?

If A is any square matrix of order 3xx3 such that |A|=3 , then the value of |adjA| is ?

Given a square matrix A of order 3xx3 such that |A|=12 , find the value of |"A adj A"|

If A is a matrix of order 3xx3 , then |3A| is equal to………

If A is a square matrix of order 3 such that |adjA|=64 , then the value of |A| is :

If A is a square matrix of order 2 then det(-3A) is