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Find Is Orothogonal matrix [[0,1],[1,0]] [ Calculator, Method and examples ]

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Your problem `->` Is Orothogonal matrix [[0,1],[1,0]]


A square matrix `A`, such that `A xx A^T = I`, is called an orothogonal matrix, where `I` is an identity matrix and `A^T` is the transpose of matrix `A`.


`A` = 
`0``1`
`1``0`


`A^T` = 
`0``1`
`1``0`
T
 = 
`0``1`
`1``0`



`A×(A^T)`=
`0``1`
`1``0`
×
`0``1`
`1``0`


=
`0×0+1×1``0×1+1×0`
`1×0+0×1``1×1+0×0`


=
`0+1``0+0`
`0+0``1+0`


=
`1``0`
`0``1`



`A xx A^T = I`, So `A` is an orothogonal matrix






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