Focus Matrix 1 3 3 X 4
Focus Matrix 1 3 3 X 4
This example shows basic techniques and functions for working with matrices in the MATLAB® language.
Cont., Definition 5.3: Let A be any square matrix of order n and let I be the identity matrix of order n. Then the matrix polynomial of degree n given by A-XI is called the characteristic matrix of A. The determinant which is an ordinary polynomial in x of degree n over the Field F is called the characteristic polynomial of A. The equation is called the characteristic equation of A. Focus Matrix is a smart personal organizer based on the so-called Eisenhower box, a personal productivity strategy created by Dwight Eisenhower, the 34th President of the United States. This focus on racialization was highlighted many times by scholar and feminist bell hooks, specifically in her 1981 book Ain't I A Woman: Black Women and Feminism. Feminists argue that an understanding of intersectionality is a vital element of gaining political and social equality.
First, let's create a simple vector with 9 elements called a.
- A = 3×3 1 2 0 2 5 -1 4 10 -1 You can have more than one statement on a single line by separating each statement with commas or semicolons. If you don't assign a variable to store the result of an operation, the result is stored in a temporary variable called ans.
- Focus Matrix is a smart personal organizer based on the so-called Eisenhower box, a personal productivity strategy created by Dwight Eisenhower, the 34th President of the United States. The principle uses a special priority matrix that helps break your tasks into several groups depending on their urgency and importance, and work your way.
Now let's add 2 to each element of our vector, a, and store the result in a new vector.
Notice how MATLAB requires no special handling of vector or matrix math.
Creating graphs in MATLAB is as easy as one command. Let's plot the result of our vector addition with grid lines.
Focus Matrix 1 3 3 X 4 7 Rug Size
MATLAB can make other graph types as well, with axis labels.
MATLAB can use symbols in plots as well. Here is an example using stars to mark the points. MATLAB offers a variety of other symbols and line types.
One area in which MATLAB excels is matrix computation.
Creating a matrix is as easy as making a vector, using semicolons (;) to separate the rows of a matrix.
We can easily find the transpose of the matrix A.
Now let's multiply these two matrices together.
Note again that MATLAB doesn't require you to deal with matrices as a collection of numbers. MATLAB knows when you are dealing with matrices and adjusts your calculations accordingly.
Instead of doing a matrix multiply, we can multiply the corresponding elements of two matrices or vectors using the .* operator.
Let's use the matrix A to solve the equation, A*x = b. We do this by using the (backslash) operator.
Now we can show that A*x is equal to b.
MATLAB has functions for nearly every type of common matrix calculation.
There are functions to obtain eigenvalues ...
... as well as the singular values.
The 'poly' function generates a vector containing the coefficients of the characteristic polynomial.
The characteristic polynomial of a matrix A is
We can easily find the roots of a polynomial using the roots function.
These are actually the eigenvalues of the original matrix.
MATLAB has many applications beyond just matrix computation.
To convolve two vectors ...
... or convolve again and plot the result.
At any time, we can get a listing of the variables we have stored in memory using the who or whos command.
Focus Matrix 1 3 3 X 4 X 6 4
You can get the value of a particular variable by typing its name.
You can have more than one statement on a single line by separating each statement with commas or semicolons.
If you don't assign a variable to store the result of an operation, the result is stored in a temporary variable called ans.
As you can see, MATLAB easily deals with complex numbers in its calculations.
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Focus Matrix 1 3 3 X 4