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
Answer:
Step-by-step explanation:
7000/85 = 1400/17
or 82.352941
Answer:
HN
Step-by-step explanation:
Answer:
A=-4 B=-8 C=8
Step-by-step explanation:
If you need to check these answers multiply the answer by the second number.
A) -4x-3=12 A negative times a negative is always positive.
B)-8x9=-72 A negative times a positive is a negative.
C) 8x-2=-16 A negative times a positive is a negative.