Question

Give an example of a 2x2 matrix whose is determinant is 13

Answer 1

An example of a 2x2 matrix with a determinant of 13 is |5 2| |1 3|, which when applying the formula (ad - bc) yields (5*3) - (2*1), resulting in the required determinant of 13.

Step-by-step explanation:

To find a 2x2 matrix whose determinant is 13, let's first recall how the determinant of a 2x2 matrix is calculated:

If the matrix is:

|a b|
|c d|

The determinant is calculated as (ad - bc). Now we need to find a, b, c, and d such that their values fulfill this condition.

Let's take an example:

| 5 2|
| 1 3|

For this matrix, the determinant would be (5 * 3) - (2 * 1) = 15 - 2 = 13.

So the matrix:

| 5 2|
| 1 3|

is an example of a 2x2 matrix with a determinant of 13.

Answer 2

Easiest is 13 1 0 1 13(1)-1(0) 13-0 13