Determinants
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Determinants
A matrix is simply an ordered arrangement of elements; it is meaningless to assign a single numerical value to matrix.
However, if A is a square matrix, then the determinant function as-societies with A exactly one numerical value called the determinant of A. Denoting the determinant of A by |A| (that is, using vertical bars) we can think of the determinant function as a correspondence:
A → |A|
square matrix determinant of A
The determinant has a variety of uses, but first we need to find out how determinant may be evaluated.
Definition. (Determinant of order 1) Let A = [a11] be a square matrix of order 1. Then determinant of A is defined as the number a11 itself. That is, |a11| = a11.
Example. |3| = 3, |-5| = -5 and |0| = 0.
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However, if A is a square matrix, then the determinant function as-societies with A exactly one numerical value called the determinant of A. Denoting the determinant of A by |A| (that is, using vertical bars) we can think of the determinant function as a correspondence:
A → |A|
square matrix determinant of A
The determinant has a variety of uses, but first we need to find out how determinant may be evaluated.
Definition. (Determinant of order 1) Let A = [a11] be a square matrix of order 1. Then determinant of A is defined as the number a11 itself. That is, |a11| = a11.
Example. |3| = 3, |-5| = -5 and |0| = 0.
For more help in Determinants click the button below to submit your homework assignment