Write the value of the determinant `|2-3 5 4-6 10 6-9 15|` .

Explanation

Given,`|[2,-3, 5],[ 4,-6, 10],[ 6,-9, 15]|`


Using the property that if each element of a row (or a column) of a determinant is multiplied by a constant k, then its value gets multiplied by k.

Taking out factor 2 from `R_2` and 3 from `R_3`

`/_\=2 xx 3 xx |[2,-3, 5],[ 2,-3, 5],[ 2,-3, 5]|`

Using the property that If any two rows (or columns) of a determinant are identical (all corresponding elements are same), then the value of the determinant is zero.

Since `R_1, R_2 `and `R_3` are identical, therefore `Delta` = 0