Answer: 3:4
First step: 33 hats are purchased
Second step: for total number of hats you would do 33+11=44
Third step: simplify the ratio 33:44 —> 3:4
Answer: Matrix B is non- invertible.
Step-by-step explanation:
A matrix is said to be be singular is its determinant is zero,
We know that if a matrix is singular then it is not invertible. (1)
Or if a matrix is invertible then it should be non-singular matrix. (2)
Given : A and B are n x n matrices from which A is invertible.
Then A must be non-singular matrix. ( from 2 )
If AB is singular.
Then either A is singular or B is singular but A is a non-singular matrix.
Then , matrix B should be a singular matrix. ( from 2 )
So Matrix B is non- invertible. ( from 1 )
X^2 - 7x + 12
factors of 12 sum of the factors
1 * 12 13
2 * 6 8
3 * 4 7
-1 * -12 -13
-2 * -6 -8
-3 * -4 -7
(x - 3)(x - 4)
The second option