Final answer:
To evaluate the determinant, inverse, transpose, and adjoint of a matrix A, you can use either a graphing calculator or the step-by-step method.
Step-by-step explanation:
To evaluate the determinant of matrix A, you can use the step-by-step method. The determinant is found by multiplying the elements in the main diagonal and subtracting the product of the elements in the secondary diagonal.
To find the inverse of matrix A, you can use a graphing calculator such as TI-83, 83+, or 84, or you can use the step-by-step method. If the determinant of A is non-zero, the inverse of A exists. The inverse is found by dividing the adjoint of A by the determinant of A.
To find the transpose of matrix A, you can use the step-by-step method. The transpose is obtained by interchanging the rows and columns of the matrix.
The adjoint of matrix A is found by taking the transpose of the cofactor matrix. The cofactor matrix is obtained by multiplying each element of the matrix with its cofactor. The cofactor is the determinant of the submatrix obtained by removing the row and column containing the element.