Matrix Determinant / Complex numbers.

**battery2004** · November 21st 2008, 01:21 PM

Hello,

Ehh, i left this homework till the last day thinking it`s not too hard, but actualy i have no clue how to completely solve any of them -

Determinant:

If anyone could solve just one of them it would be much appreciated!

Thanks, in advance.

**Krizalid** · November 21st 2008, 01:31 PM

For the first one, try to turn that matrix into a left triangular one, then you'll get easily the determinant.

As for the second question, it's just Euler's formula application.

**Mathstud28** · November 21st 2008, 01:32 PM

Originally Posted by battery2004

Hello,

Ehh, i left this homework till the last day thinking it`s not too hard, but actualy i have no clue how to completely solve any of them -

If anyone could solve just one of them it would be much appreciated!

Thanks, in advance.

We know by Euler's Formula that $e^{ix}=\cos(x)+i\sin(x)$ . So $\begin{aligned}\sqrt[4]{7\left(\cos\left(\frac{\pi}{2}\right)+i\sin\left( \frac{\pi}{2}\right)\right)}&=\sqrt[4]{7}e^{\frac{\pi{i}}{8}}\\<br /> &=\sqrt[4]{7}\left(\cos\left(\frac{\pi}{8}\right)+i\sin\left (\frac{\pi}{8}\right)\right)<br /> \end{aligned}$

Do similarly for the second.

Thread: Matrix Determinant / Complex numbers.

LinkBack

Thread Tools

Display

Matrix Determinant / Complex numbers.

Similar Math Help Forum Discussions

[SOLVED] Derivative of a matrix inverse and matrix determinant

Complex Numbers?(Find value of determinant)

Determinant of a complex matrix

Determinant of a 2 x 3 matrix?

Pre-Calc Graphing with Complex numbers. Multiplying with complex numbers.

Search Tags