Answer:
Step-by-step explanation:
If we have a matrix 2x2 as:
The determinant is given by:
determinant = a*d - b*c
So, for find a matrix whose determinant is 13, we can choose the values of a, b and c at random and then solve the equation for d.
Then, for example if we replace the value of a by 1 the value of b by 0, and the value of c by 5, the equation for find d could be:
determinant = a*d - b*c
13 = 1*d - 0*5
Solving for d, we get:
13 = d -0
13 = d
So, one example of a 2x2 matrix whose determinant is 13 is the matrix with the form:
Where a is 1, b is 0, c is 5 and d is 13. This matrix is: