Home
Class 12
MATHS
If A^(T) is the transpose of a square ma...

If `A^(T)` is the transpose of a square matrix A, then

A

`|A|ne|A^(T)|`

B

`|A|=|A^(T)|`

C

`|A|+|A^(T)|`=0

D

`|A|=|A^(T)|` only

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (II. Fill in the blanks :)|10 Videos
  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (IV. Choose the odd man out : )|5 Videos
  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise EXERCISE 1.8|25 Videos
  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 5 MARKS|7 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos

Similar Questions

Explore conceptually related problems

Let Ad nB be 3xx3 matrtices of ral numbers, where A is symmetric, "B" is skew-symmetric , and (A+B)(A-B)=(A-B)(A+B)dot If (A B)^t=(-1)^k A B ,w h e r e(A B)^t is the transpose of the mattix A B , then find the possible values of kdot

Transpose of a columns matrix is

Transpose of a column matrix is …… .

Does there exist a square matrix with 32 elements ?

If A is order 3 square matrix such that |A|=2 , then |"adj (adj (adj A))"| is

If A is order 2 square matrix such that |A|=2, then |(adj(adj(adjA)))| is 512 b. 256 c. 64 d. none of these

If one of the eigenvalues of a square matrix a order 3xx3 is zero, then prove that det A=0 .

Let M be a 2xx2 symmetric matrix with integer entries. Then M is invertible if The first column of M is the transpose of the second row of M The second row of M is the transpose of the first column of M M is a diagonal matrix with non-zero entries in the main diagonal The product of entries in the main diagonal of M is not the square of an integer