Difference between revisions of "HW1.3 Cory Ocker - The kryptonite to difficult complex numbers is MATLAB ECE301Fall2008mboutin" - Rhea

Revision as of 13:07, 4 September 2008

MATLAB and Complex Numbers Examples

Defining terms in matlab i =sqrt(-1)

Matlab will return ans = 0 + 1i

EX. a= 3+2i Finding the conjugate conj(a) Finding the real part real(a) Finding the imaginary part imag(a)

Sample Code

>> a=3+2i

a =3.0000 + 2.0000i

>> conj(a)

ans =3.0000 - 2.0000i

>> real(a)

ans =3

>> imag(a)

ans =2

@@ Line 1: / Line 1: @@
-MATLAB and Complex Numbers Examples
+==MATLAB and Complex Numbers Examples ==
-To start you may type
-Format rat
+Defining terms in matlab
 i =sqrt(-1)
 Matlab will return
+ans = 0 + 1i
+EX.
+a= 3+2i
+Finding the conjugate
+conj(a)
+Finding the real part
+real(a)
+Finding the imaginary part
+imag(a)
+==Sample Code==
+>> a=3+2i
+a =3.0000 + 2.0000i
-ans =
+>> conj(a)
-To enter a complex number type
-c1= 4+5i
-To find the conjugate of c1 type
-conj(c1)
-You may ask for the real part of a complex number by typing
-real(c1)
-Imaginary part of the number can be obtained by typing
-imag(c1)
-To enter a complex matrix, enter it in the same way that you enter a real matrix:
-A= [ 2+i 3-5i, -2; -7i 6+7i 55-12i]
-This is what you will see
-A = 2 + 1i 3 - 5i -2
-- 7i 6 + 7i 55 - 12i
-You may find the real part, imaginary part or the conjugate of a matrix by typing the following commands:
-real(A)
-imag(A)
-conj(A)
-To find the conjugate transpose of a matrix use the following command
-A'
-The commands det(A), rref(A), roots(p) , poly(A), eig(A) work in the same way that they work for real matrices. Note that A' will provide the conjugate transpose of A.
-Examples:
-Type
-B=[2+3i 3-i 5-7i; 9+i 5+i 2-i; 2-i 3-4i 4+i]
-To find determinant of B type
-det(B)
-To find the conjugate transpose of B type
-B'
-To find coefficients of the characteristic polynomial of B type
-poly(B)
-To find reduced row echelon form of B type
-rref(B)
-to find the inverse of B type
-inv(B)
-to find eigenvalues of B type
-eig(B)
+ans =3.0000 - 2.0000i
+>> real(a)
+ans =3
-to find eigenvalues and eigenvectors of B type
+>> imag(a)
-[V D] = eig(B)
+ans =2

Difference between revisions of "HW1.3 Cory Ocker - The kryptonite to difficult complex numbers is MATLAB ECE301Fall2008mboutin" - Rhea

Revision as of 13:07, 4 September 2008

MATLAB and Complex Numbers Examples

Sample Code

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