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KUMAR PRAKASHAN-MATRICES -EXERCISE -3.3
- Find the transpose of each of the following matrices : (i)[{:(5),((1...
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- If A=[{:(-1,2,3),(5,7,9),(-2,1,1):}]andB=[{:(-4,1,-5),(1,2,0),(1,3,1):...
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- If A'=[{:(-2,3),(1,2):}]andB=[{:(-1,0),(1,2):}] then find (A+2B)'.
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- For the matrices A and B , verify that (AB)'= B'A', where (i) A=[{:(...
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- If (i) A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] then verify th...
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- Show that the matrix A=[(0, 1,-1),(-1,0,1),(1,-1,0)] is a skew symmetr...
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- For the matrix A=[{:(1,5),(6,7):}],verify that (i) (A+A) is a symme...
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- Find (1)/(2)(A+A')and(1)/(2)(A-A), when A=[{:(0,a,b),(-a,0,c),(-b,-c...
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- Express the following matrices as the sum of a symmetric and a skew sy...
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- If A and B are symmetric matrices of same order , then AB +BA...
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- If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A=I,then the v...
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