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express the following matrices as a su...

express the following matrices as a sum of symmetric and skew symmetric matrices : `[{:(3,-7),(4,2):}]`

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The correct Answer is:
`(i) [{:(3,-(3)/(2)),(-(3)/(2),2):}]+[{:(0,-(11)/(2)),((11)/(2),0):}](ii)[{:(3,(3)/(2),5),((3)/(2),0,(1)/(2)),(5,(1)/(2),2):}]+[{:(0,(5)/(2),3),(-(5)/(2),0,(7)/(2)),(-3,-(7)/(2),0):}]`
`(iii)[{:(1,0,-(3)/(2)),(0,2,(3)/(2)),(-(3)/(2),(3)/(2),0):}]+[{:(0,0,-(3)/(2)),(0,0,(1)/(2)),((3)/(2),-(1)/(2),0):}].`
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