A matrix has an inverse if and only if its determinant is not zero.
The matrix does not have an inverse.
Practice makes perfect
To find the inverse of the given 2* 2 matrix, we will use the formula.
Matrix
Inverse
A= [ cc a & b c & d ]
A^(- 1)=1/ad-bc [ cc d & - b - c & a ], where ad-bc ≠0
Recall that the determinant of A, det(A), is ad-bc. Because this is in the denominator of a fraction in the formula, if the determinant is 0 the fraction is undefined and the matrix cannot have an inverse. Now, consider the given matrix.
[
cc
6 & -3
-8 & 4
]
Let's calculate the determinant.
