Let [a] = 2, and a * be its adjoint matrix, then [a *] =?

Let [a] = 2, and a * be its adjoint matrix, then [a *] =?


Knowledge point: | a * | = | a | ^ (n-1), where n is the order of A
So | a * | = | a | ^ (3-1) = 2 ^ 2 = 4



Given that a is a third-order square matrix, a * is the adjoint matrix of a, and the determinant of a is equal to 2, how much is the determinant of a *





Let a be a square matrix of order n and the determinant of a be 0. What is the condition for the determinant of the adjoint matrix of a to be 0


Necessary and sufficient conditions
The determinant of a is 0 and the determinant of adjoint matrix of a is 0
We can refer to the properties of the rank of adjoint matrix