Table of Contents
What is modulus of iota?
Hence, the modulus is 1. Alternatively, since for this problem you need to find the square roots of i, and i itself has modulus 1, then by inspection r in the De Moivre equation above is 1. Therefore, the modulus of either square root of i is 1. 3.1K views.
What is the modulus of 1 I root 3?
z = – 1 – i√3. Thus, the modulus and argument of the complex number – 1 – i√3 are 2 and – 2π/3 respectively.
What is the value of the expression i 0 i 1 i 2 i3 i 4 1 1?
The value of the expression i0× i1× i2× i3× i4 is -1.
What is the modulus of a given number?
The modulus of a given number describes the magnitude of the number. Modulus Function is defined as the real valued function, say f : R -> R, where y = |x| for each x ∈ R OR f (x) = |x|. This function can be defined using modulus operation as follows: f (x) =left {begin {matrix} -x &x <0 \\ x & x geq 0 end {matrix}right. f (x) = {−x x
What is the range of the modulus function for x < 0?
Similarly for x < 0, the graph is a line where y = -x. Here both the graph lines hold true the definition of modulus functions. The graph defines the domain and range of modulus function, i.e. Range = [0,∞] ; where the range of modulus function is the upper half of the Real numbers (R+), including 0.
How do you redefine the modulus function?
Hence, we can redefine the modulus function as: According to the above statement, if the value of x is greater or equal to 0, then the modulus function takes the actual value. But if the value of x is less than 0, then the function takes minus of the actual values.
How do you plot a graph for a modulus function?
Now let us plot a graph for modulus function. Let x be variable whose values lies from -3 to 3, which is the domain of the graph. So, the range of function f (x) should be always positive for all values of x, as per the definition.