Posts Tagged ‘i’
Friday, November 6th, 2009
Identity Matrix Explained
Description
A detailed tutorial on the identity matrix. Step by step tutorial including several examples of the identity matrix and how to solve it for reference.
Overview
An indentity matrix is a matrix that is said to be of size n. It is considered to be the n-by-n square matrix with ones on the main diagonal and zeros elsewhere. The identity matrix is denoted as the variable I. The identity matrix has some extremely important properties of its own, especially multiplication properties. It is a unique type of matrix that is found rarely, but is used very often in several different branches of math.
Tags: -1, 0, algebra, diagonal, i, identity, linear, main, matrices, matrix, multiplication, one, properties, square, uniquem, variable, zero
Posted in Algebra | No Comments »
Friday, October 16th, 2009
Overview of the Conjugate Zeros Theorem
Description
A detailed tutorial on the conjugate zeros theorem. Step by step tutorial including several examples of the conjugate zeros theorem for reference.
Overview
The conjugate zeros theorem states that if a + b * i is a zero of a polynomial with real coefficients, then so is a – b * i. The conjugate zeros theorem can be proved by taking any function in this form and setting it equal to zero. The conjugate zeros theorem makes many equations easier to solve, especially complex equations when you get to higher levels of math.
Tags: a, b, Calculus, complex, conjugate, equations, function, i, imaginary, Math, number, theorem, zero, zeros
Posted in Calculus | No Comments »
Friday, September 11th, 2009
An Introduction to Imaginary Numbers
Description
A detailed tutorial on imaginary numbers. Step by step tutorial including several examples of how to solve problems using imaginary numbers for reference.
Overview
An imaginary number is a number that is considered to not be real – for instance, the square root of a negative number. You could never take a square root of a negative number – until you met i. i stands for “imaginary”, and it is the square root of negative one. Many previously impossible problems can now be solved by pulling out i from the equation.
Tags: -1, algebra, i, imaginary, imaginary number, Math, negative, real, real number, sqrt(-1), square root
Posted in Math | No Comments »
Friday, September 11th, 2009
Description
A detailed tutorial on the solving of Complex Numbers. Step by step tutorial including several examples of how to solve Complex Numbers for reference.
Overview
Complex numbers are designed to solve the issure of a negative number in a radical. To do this, we’ve defined the letter i to be equal to the square root of 1.
Or
We then combine these “imaginary numbers” with other real numbers to solve equations that deal with a negative in a radical.
Tags: algebra, complex numbers, i, imaginary numbers, Math
Posted in Algebra, Math | No Comments »
where 
is any real number and 
is the square root of minus one. 
we get complex numbers. Complex and imaginary numbers are used to solve what happens when there is a negative in a radical.
