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:
<em>C.</em>
Step-by-step explanation:
<em>I already used this example but...</em>
<em>Converse. Switching the hypothesis and conclusion of a conditional statement. For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet then it is raining."</em>
<em> Note: As in the example, a proposition may be true but have a false converse.</em>
<em>It has to have the same meaning, but in a different format, so the only answer that follows this rule is C.</em>
<em>Hope this helps, have a good day. c;</em>
Answer:
C
Step-by-step explanation:
Hope I was able to help!! :)
I Believe it is 80% but I am not sure