Write a 2xx2 matrix which is both sym...

Write a `2xx2` matrix which is both symmetrc and skew -symmetric .

Promotional Banner

Promotional Banner

Topper's Solved these Questions

MATRICES
ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Short Answer Type Questions)|8 Videos
MATRICES
ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part IV (Inverse of a Matrix by Elementary Operations (Very Short Answer Type Questions ) |16 Videos
MATRICES
ARIHANT PUBLICATION|Exercise QUESTIONS FPR PRACTICE Part II (Multiplication of Matrices (Matrix Multiplecation) Short Answer Type Questions |16 Videos
LINEAR PROGRAMMING
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos
PROBABILITY
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

State'True'or'false': A matrix which is not symmetric is skew symmetric.

If A is a symmetric matrix, then A- A is both symmetric and skew symmetrix. State true or false.

State'True'or'false':If A is symmetric then A-A^1 is both symmetric and skew symmetric.

If a symmetric /skew symmetric matrix is expressed as a sum of a symmetric and a skew symmetric matrix then prove that one of the matrices in the sum must be zero matrix .

Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric matrix.

If A and B are symmetric matrices , then prove that BA - 2AB is neither a symmetric matrix nor skew - symmetric matrix .

ARIHANT PUBLICATION-MATRICES -QUESTIONS FPR PRACTICE Part III (Transpose of a Matrix ,Symmetric and Skew -symmetric Matrices (Very Short Answer Type Questions)

Find the transpose of matrix [{:(-1,5,6),(sqrt(3),5,6),(2,3,-1):}].
Text Solution
|
If A=[{:(2,0),(1,4):}]andB=[{:(-1,2),(3,0):}] , then find (AB).
Text Solution
|
If A=[{:(-2,3),(1,2):}]andB=[{:(-1,0),(1,2):}], then find (A+2B).
Text Solution
|
If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then find the va...
Text Solution
|
Show that matrix A=[{:(1,-1,5),(-1,2,1),(5,1,3):}] is a symmetric mat...
Text Solution
|
Show that matrix A=[{:(0,1,-1),(-1,0,1),(1,-1,0):}]is a skew -symmetr...
Text Solution
|
Write a 3xx3 skew -symmetric matrix .
Text Solution
|
Write a 2xx2 matrix which is both symmetrc and skew -symmetric .
Text Solution
|
Show that A'A and AA ' are both symmetric matrices for any matrix A.
Text Solution
|
If A is symmetric , then show that B' AB is symmetric matrix .
Text Solution
|
If A and B are symmetric matrices , then prove that AB+ BA is a symme...
Text Solution
|
If A and B are symmetric matrices of the same order , then prove tha...
Text Solution
|
If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is a skew -symmetric matrix...
Text Solution
|
If A is a skew -symmetric matrix , then show that A^(2) is a symmetri...
Text Solution
|