Without expanding the determinant, prove that `|[41, 1, 5],[79, 7, 9], [29, 5, 3]|=0`

Without expanding evaluate the determinant |[41,1,5],[79,7,9],[29,5,3]|

Without expanding, prove that [[41,1,5],[79,7,9],[29,5,3]] =0

Without expanding the determinant prove the following. |[2,7,65],[3,8,75],[5,9,86]|=0

Without expanding evaluate the determinant |(41,1,5),(79,7,9),(29,5,3)|

Without expanding the determinant prove that: {:|(0,a,-b),(-a,0,-c),(b,c,0)|:}=0

Without expanding evaluate the determinant det[[79,7,929,5,3]]

Using the property of determinants and without expanding, prove that: |[2, 7, 65],[ 3 ,8 ,75 ],[4, 9,86]|=0

Prove without expanding the determinant |(9, 9, 12),(1, -3, -4),(1, 9, 12)|=0 .

Without expanding the determinant at any stage prove that |{:(-5,3+5i,(3)/(2)-4i),(3-5i,8,4+5i),((3)/(2)+4i,4-5i,9):}| has a purely real value.

Without expanding the determinant at any stage prove that |{:(-5,3+5i,(3)/(2)-4i),(3-5i,8,4+5i),((3)/(2)+4i,4-5i,9):}| has a purely real value.