Let A be a square matrix. Then which of ...

Let A be a square matrix. Then which of the following is not a symmetric matrix -

`A+A^(T)`

`A-A^(T)`

`A A^(T)`

`A^(T)A`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATRICES
AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (One option is correct)|13 Videos
MATRICES
AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - C) Objective Type Questions (More than one options are correct)|7 Videos
MATRICES
AAKASH INSTITUTE ENGLISH|Exercise Try yourself|12 Videos
MATHEMATICAL REASONING
AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos
PERMUTATIONS AND COMBINATIONS
AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

If A is a square matrix which of the following is not as symmetric matrix? (A) A-A\' (B) A+A\' (C) A A\' (D) A+B

Let A be an inbertible matrix. Which of the following is not true?

Let A be a square matrix. Then prove that (i) A + A^T is a symmetric matrix, (ii) A -A^T is a skew-symmetric matrix and (iii) AA^T and A^TA are symmetric matrices.

Let a be square matrix. Then prove that A A^(T) and A^(T) A are symmetric matrices.

Prove that every square matrix can be uniquely expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

If a square matrix A is orthogonal as well as symmetric, then

Let Aa n dB be two nonsinular square matrices, A^T a n dB^T are the transpose matrices of Aa n dB , respectively, then which of the following are correct? (a) . B^T A B is symmetric matrix (b) . if A is symmetric B^T A B is symmetric matrix (c) . if B is symmetric B^T A B is skew-symmetric matrix for every matrix A (d) . B^T A B is skew-symmetric matrix if A is skew-symmetric

Write a square matrix which is both symmetric as well as skew-symmetric.

AAKASH INSTITUTE ENGLISH-MATRICES-Assignment (Section - A) Objective Type Questions (One option is correct)

If A is any square matrix, then
Text Solution
|
If A and B are symmetric matrices of the same order then (AB-BA) is al...
Text Solution
|
Let A be a square matrix. Then which of the following is not a symmetr...
Text Solution
|
Each diagonal elemetn of a skew symmetric matrix is (A) zero (B) negat...
Text Solution
|
If A={:[(1,0),(1,1)]:},"then "A^(2008) is equal to
Text Solution
|
If A=[ x y z],B=[(a,h,g),(h,b,f),(g ,f,c)],C=[alpha beta gamma]^T th...
Text Solution
|
if for a matrix A, A^2+I=O, where I is the identity matrix, then A equ...
Text Solution
|
about to only mathematics
Text Solution
|
If {:A+B=[(1,0),(1,1)]andA-2B=[(-1,1),(0,-1)]:}," then "A=
Text Solution
|
{:[(7,1,2),(9,2,1)]:}{:[(3),(4),(5)]:}+2{:[(4),(2)]:} is equal to
Text Solution
|
If f(x)=x^(2)+4x-5andA={:[(1,2),(4,-3)]:}, then f(A) is equal to
Text Solution
|
Multiplicative inverse of the matrix [[2,1],[7,4]] is (i) [[4,-1],[-7...
Text Solution
|
If the matrix A is such that ({:(1,3),(0,1):})A=({:(1,1),(0,-1):}), t...
Text Solution
|
If A is a square matrix such that A^2=I , then A^(-1) is equal to A...
Text Solution
|
If X+{:[(2,1),(6,1)]:}={:[(1,1),(0,1)]:} then 'X' is equal to
Text Solution
|
If A={:[(1,2,3),(-2,5,7)]:}and2A-3B={:[(4,5,-9),(1,2,3)]:} then B is e...
Text Solution
|
If {:[(x,1),(-1,-y)]:}+{:[(y,1),(3,x)]:}={:[(1,2),(2,1)]:}, then
Text Solution
|
Let A={:[(2,3,5),(1,0,2),(3,4,5)]:}andA+B-4I=0, then B is equal to
Text Solution
|
If A={:[(1,2),(-1,8),(4,9)]:}andX+A=0, then X is equal to
Text Solution
|
Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sint...
Text Solution
|