Adjoint of square matrices and their pro...

Adjoint of square matrices and their properties

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If the matrix B is the adjoint of the square matrix A and alpha is the value of the determinant of A, then what is AB equal to ?

`alpha`

`((1)/(alpha))I`

`alpha I`

If A^T and B^T are transpose matrices of the square matrices A and B respectively, then (AB)^T is equal to

`A^TB^T`

`AB^T`

`BA^T`

`B^T A^T`

If D is the determinant of a square matrix A of order n, then the determinant of its adjoint is

`D`

`D^(n-1)`

`D^(n)`

`D^(n+1)`

Adjoint of square matrices and their properties

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If the matrix B is the adjoint of the square matrix A and alpha is the value of the determinant of A, then what is AB equal to ?

If A^T and B^T are transpose matrices of the square matrices A and B respectively, then (AB)^T is equal to

If D is the determinant of a square matrix A of order n, then the determinant of its adjoint is

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