Prove that the value of the determinant
` |{:(-7,,5+3i,,(2)/(3)-4i),(5-3i ,,8,,4+5i),((2)/(3) +4i,,4-5i,,9):}|" is real "`

Prove that the value of the determinant |-7 5+3i2/3-4i5-3i8 4+5i2/3+4i4-5fi9| is real.

Prove that the value of the determinant |-7 5+3i2/3-4i5-3i8 4+5i2/3+4i4-fi9| is real.

Prove that the value of the determinant |-7 5+3i2/3-4i5-3i8 4+5i2/3+4i4-fi9| is real.

Find the value of determinant : |(5i,-3i),(4i,-i)|

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.

Whitout expanding the determinat 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.

Whitout expanding the determinat 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.

Find the value of the following determinants,where i=sqrt-1 |(6i,3i^5),(-4i,3i^3)|