Answer with Step-by-step explanation:
We are given that
A and B are matrix.
A.We know that for two square matrix A and B
Then, 
Therefore, it is true.
B. det A is the product of diagonal entries in A.
It is not true for all matrix.It is true for upper triangular matrix.
Hence, it is false.
C.

When is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.
Hence, it is false.
D.An elementary row operation on A does not change the determinant.
It is true because when an elementary operation applied then the value of matrix A does not change.
Pretty sure it would be D
Good luck on your finals!
Answer:
y = -5/4x - 4
Step-by-step explanation:
The equation they give you is in slope intercept form. y=mx+b. The m is the slope (-5/4). Since they want a parallel line you keep the same slope for point slope form. Point slope formula is y-y1=m(x-x1). the y1 and x1 are where you plug in the coordinates they give you.
y - 1 = -5/4x (x + 4)
y - 1 = -5/4x - 5
y = -5/4x - 4