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Inverse of square matrix:
The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A, but is determined by using the elements from A in the manner shown below: the values on the diagonal are reversed, and the operator negation is used on the other two values.
Note that if the determinant D is 0, it will not be possible to find the inverse of the matrix A.
The unknowns are found by evaluating this matrix multiplication, and hence:
x1 = -1 * 2 + 1 * 6 = 4
x2 = 1 * 2 + (-1/2) * 6 = -1
This, obviously, is the similar solution as found by the intersection of the two lines.
To do this in a MATLAB, at first we would generate the coefficient matrix variable a and column vector b.
>> a = [1 2; 2 2];
>> b = [2;6];
Symbolic Variables and expressions: The MATLAB has a type known as sym for the symbolic variables and expressions; these work with strings. The illustration, to generate a sym
ischar function: The ischar function return the logical true if an array is a character array, or logical false if not. >> vec = 'EK127'; >> ischar(vec) ans =
Creating the structure Variables: Creating a structure variable can be accomplished by simply storing the values in fields by using assignment statements, or by using the stru
Removing Whitespace Characters: The MATLAB has functions which will eliminate trailing blanks from the end of a string and/or leading blanks from the starting of a string.
Tracing of Square matrices: The trace of a square matrix is the addition of all the elements on the diagonal. For illustration, for the preceding matrix it is 1 + 6 + 11 + 16,
function numden: The function numden will return individually the numerator & denominator of a symbolic expression: >> sym(1/3 + 1/2) ans = 5/6 >> [n, d] =
Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply
Evaluating a string: The function eval is used to compute a string as a function. For illustration, below is the string 'plot(x)'is interpreted to be a call to plot the functi
Interchange rows : for illustration interchanging rows ri and rj is written as
Use polyval to evaluate the derivative at xder. This will be the % slope of the tangent line, "a" (general form of a line: y = ax + b). % 4. Calculate the intercept, b, of t
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