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Express the following matrices as the su...

Express the following matrices as the sum of a symmetric and a skew symmetricmatrix:(i) `[3 5 1-1]` (ii) `[6-2 2-2 3-1 2-1 3]` (iii) `[3 3-1-2-2 1 4 5 2]` (iv) `[1 5-1 2]`

Text Solution

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The correct Answer is:
(i) `A=[(3,3),(3,-1)]+[(0,2),(-2,0)]`
(ii) `A=[(6,-2,2),(-2,3,-1),(2,-1,3)]+[(0,0,0),(0,0,0),(0,0,0)]`
(iii) `A=[(3,(1)/(2),(-5)/(2)),((1)/(2),-2,-2),((-5)/(2),-2,2)]+[(0,(5)/(2),(3)/(2)),((-5)/(2),0,3),((-3)/(2),-3,0)] (iv)A=[(1,2),(2,2)]+[(0,3),(-3,0)]`
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