Question

Let C=
5 4 -8
11 -9 17
6 -5 10
be a matrix of cofactors of matrix A, then the adjoint of A will be .......

Answer 1

Answer on Question #54994 – Math – Linear Algebra

Let

$$C = \left( \begin{array}{ccc} 5 & 4 & -8 \\ 11 & -9 & 17 \\ 6 & -5 & 10 \end{array} \right)$$

be a matrix of cofactors of matrix A, then the adjoint of A will be...

Solution

We are given matrix

$$C = \left( \begin{array}{ccc} 5 & 4 & -8 \\ 11 & -9 & 17 \\ 6 & -5 & 10 \end{array} \right),$$

which consists of cofactors of some matrix A.

The adjoint of matrix A is then simply transpose of matrix C by definition. Thus,

$$AdjA = \left( \begin{array}{ccc} 5 & 11 & 6 \\ 4 & -9 & -5 \\ -8 & 17 & 10 \end{array} \right).$$

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