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
X2 - 25 = 0
Add 25 on each side.
x2 = 25
Divide by 2 on each side.
x = 12.5
Answer:
4
Step-by-step explanation:
2 plus 6 is 8, 8 divided by 2 is 4
Y₂-y₁
--------
x₂-x₁
=
5-5
--------
-8-2
0
-----
-10
slope = 0
Answer:
a)10
b)-11.4
Step-by-step explanation:
you should find common denominator bit don't forget that they are negative