Question

Sea A una matriz cuadrada de orden 3. Si sabemos que el determinante de la matriz 2A es 2A es |2A| = 8 ¿Cuanto vale el determinante de A? Escribe la propiedad de los determinantes que hayas usado para obtener este valor. Por fa lo necesito para ya!!! :'(

Answer 1

Answer:

1

Step-by-step explanation:

If in a square matrix we multiply all the elements of the matrix by the same number, its determinant is multiplied by that number raised to the order of the matrix, in this case, order 3.

So we have to:

| 2A | = (2 ^ 3) * | A | = 8

8 * | A | = 8

| A | = 1

Therefore determinant A is 1.