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