Answer:
Option C
Step-by-step explanation:
- For the matrix A of order
to be invertible, its determinant must not be equal to zero, |A|
0,
exists if- AC = CA = I, where I is identity matrix.
- The homogeneous equation with coefficient matrix A has a unique solution:
AB = 0, B = 
Thus, B = (0, 0, 0......., 0) is a unique solution
2. The non - homogeneous equation system with coefficient matrix A has a unique solution:
For an equation- AY = D
Y =
is a unique solution
3. Every non homogeneous equation with coefficient matrix A is not consistent as:
For an equation- AY = D, has a solution.l Thus coefficient matrix is inconsistent whereas augmented matrix is.
4. Rank of matrix A = n, Thus the column space of A is 
5. Since, column space of A =
, thus x→xA is one-to-one
100%/x%=20/15
(100/X)*x=20/15*x --I multiply both sides of the equation by X
100=1.33333333333*x --I divided both sides of the equation by .........................................(1.33333333333) to get X
100/1.33333333333=x
75=x
x=75
15 is 75% of 20
If x to the 12th power is divided by x to the 9th power:
Since they share same bases, and are being divided, it would be the same as x^{12 - 9), or x^{3}
Now, simply find the cube root of 125, which is 5.
Therefore, the number (x) must be equal to 5.
<em>Hope this helps! :)</em>
After having done this on paper:

We want to isolate the variable, and the first step is to subtract the 8.

Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.
<em>n</em> = 24
Let me know if this helped you understand better.
Also, you can check this by substituting in 24 for <em>n</em>.
Answer:
I hope this helps. If I misunderstood the question let me know
Step-by-step explanation:
1. When dividing a negative by a negative, your answer would be positive.
2. When dividing a negative by a positive, your answer will be negative.
3. When dividing a positive by a negative,your answer will be negative.