A= 4 −2
−1 3
b = 2
1 4

1. is matrix a the inverse of matrix b? show your work, and explain your answer.
2. what is the determinant of matrix b? of matrix a?
leson

1. The matrix A isn't the inverse of matrix B.

2. |B|=12, |A|=12

Step-by-step explanation:

1. We want to know if matrix A is the inverse of matrix B, this means that if you do the product between B and A you have to obtain the identity matrix.

We have:

and

A and B are 2×2 matrices (2 rows and 2 columns), if you multiply them you have to obtain a 2×2 matrix.

Then if A is the inverse of B:

Where,

Observation:

If you have two matrices:

Now:

Then, the matrix A isn't the inverse of matrix B.

2. If you have a matrix A:

The determinant of the matrix is:

Then the determinant of B is:

The determinant of A is:

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: