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:
1/6 or 16.67
Step-by-step explanation:
As there are 6 parts, the theoretical probability of landing on a one is 1/6 or 16.67 (16.666 repeating).
Answer:
91
Step-by-step explanation:
12∣∣−x+3∣∣−5
Let x = 11
12∣∣−11+3∣∣−5
Do the absolute value first
12∣∣-8∣∣−5
Taking the absolute value, which means making it positive
12* 8 -5
Multiply and divide
96 -5
91