z number of protons

If Z = a + ib, then Z is called the negative of Z. -Z = -(a + ib) = -a - ..

If Z 1 = a + ib and Z 2 = x + iy, then we define their sum as Z 1 + Z 2 = (a + ib) + (x + iy) = (a + x) + i(b + y) which is a complex number..

Using matrix method, solve the following system of linear equations x + y + z = 6 (1) x + 2y + 3z = 14 (2) x + 4y + 7z = 30 ..

Using matrix method solve the following systems of linear equations 2x - y + z = -3 3x - z = - 8 2x + 6y ..

One of the most important applications of De Moivre's theorem is to find the q t h roots of a complex number. Let z = x + iy be a complex number. Let z = r {cos q + i sin q } be its polar form. And z 1/q be the q th ro..

Let Z = a + i b and Z' = x + iy be the additive inverse of Z, then a + x = 0 and b + iy = 0 \ Additive inverse of a + ib is - a - ..

If Z = a + ib is a complex number, then a - ib is called the complex conjugate of a + ib and the conjugate is denoted by..

Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along the x-axis and the imaginary part along the y-axis. This representation of a complex numb..

Graphical representation of Complex numbers - The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex number. In the figure, P defines ..

To find the q th roots of a Complex number - One of the most important applications of De Moivre's theorem is to find the q t h roots of a complex number. Let z = x + iy be a complex number. Let z = r {cos q + i sin q } be its polar form. We have ..