A= 4 −2
−1 3

1. find the inverse of a. show your work, and confirm your answer.
2. explain why the matrix 3
4 2
has no inverse

1.

2.

Step-by-step explanation:

We have the matrix:

It's a 2×2 matrix (This means that the matrix has two rows and two columns).

1. We have to find the inverse of A.

For a 2×2 matrix the inverse is:

If you have

And,

is the determinant of the matrix, the determinant has to be different from zero.

If then the matrix doesn't have inverse.

Then,

First we are going to calculate the determinant:

The determinant is different from zero, then the matrix has inverse.

Then the inverse of A is:

2. We have the matrix,

We have to calculate the determinant:

We said that a matrix can have an inverse only if its determinant is nonzero.

In this case then, the matrix B doesn't have inverse.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column