Final answer:
To find the inverse of a matrix, we use the formula A^-1 = (1/det(A)) * adj(A). By calculating the determinant of the matrix [6 -3] [-8 4], we find that it is 0. Therefore, the matrix does not have an inverse.
Step-by-step explanation:
To find the inverse of a matrix, we can use the formula:
A-1 = (1/det(A)) * adj(A)
where A is the given matrix, det(A) is the determinant of A, and adj(A) is the adjugate of A.
Using the formula, we can calculate the inverse of the given matrix [6 -3] [-8 4] as follows:
Step 1: Calculate the determinant of A: det(A) = (6 * 4) - (-3 * -8) = 24 - 24 = 0
Since the determinant is 0, the matrix does not have an inverse.