Answer:
Step-by-step eplained
The expression “ć1” appears to be a typographical error. I assume you meant “c₁” (pronounced “c sub 1”). If that’s the case, let’s proceed.
Definition of a Minor:
A minor of an (n \times n) matrix (M) is the determinant of any square matrix obtained from (M) by deleting one row and one column.
Specifically, any entry (m^{i}_j) of matrix (M) corresponds to a minor obtained by removing the (i)th row and (j)th column of (M).
Determinant in Terms of Minors:
The determinant of a matrix (M) can be expressed in terms of its minors as follows: [ \det M = \sum_{\sigma} \text{sgn}(\sigma) \cdot m^{1}{\sigma(1)} m^{2}{\sigma(2)} \cdots m^{n}_{\sigma(n)} ] where:
(\sigma) represents a permutation.
(\text{sgn}(\sigma)) is the sign of the permutation.
(m^{i}_{j}) denotes the minor associated with the entry in the (i)th row and (j)th column of (M).
Deductive Reasoning:
Deductive reasoning uses a collection of general statements (premises) to propose a specific conclusion.
In mathematical proofs, we rely on definitions, postulates, properties, and previously proven theorems as our premises1.
The word “Given” is used as a reason only if the information in the statement column was explicitly given in the problem2.
the Italian is done.
