For which values of a does a
a 2
have an inverse matrix?

a not equal to 4 and -4.

Step-by-step explanation:

As we know the inverse of a matrix is adj(A)/det(A).

|A|=8*2-a*a

|A|=16-a²

For the inverse to exists the determinant should be non-zero,|A|≠0.

16-a²≠0

(4-a)(4+a)≠0

4-a≠0 and 4+a≠0

a≠4 and a≠-4.

Hence the inverse of the matrix will exists if the values of a are not equal to 4 and -4.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

25% is the answer