consider the following definitions: 1. a submatrix of an matrix A is any smaller matrix obtained by removing one or more rows and / or columns of A 2. the rank of a matrix Amxn can be defined as the largest integer p for which some of submatrix p x p of A has non-zero determinant. If A is square, with det(A) ≠ 0, the opposite of A is the number of lines (or columns). Using just this definition of rank and properties of the determinants to simplify the calculations without scaling the matrix determine all possible values of the parameter t, for matrix A, then have rank 2. Show mathematical argument and justify your answer
consider the following definitions: 1. a submatrix of an matrix A is any smaller matrix obtained by removing one or more rows and / or columns of A 2. the rank of a matrix Amxn can be defined as the largest integer p for which some of submatrix p x p of A has non-zero determinant. If A is square, with det(A) ≠ 0, the opposite of A is the number of lines (or columns). Using just this definition of rank and properties of the determinants to simplify the calculations without scaling the matrix determine all possible values of the parameter t, for matrix A, then have rank 2. Show mathematical argument and justify your answer
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 32WE
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consider the following definitions:
1. a submatrix of an matrix A is any smaller matrix obtained by removing one or more rows and / or columns of A
2. the rank of a matrix Amxn can be defined as the largest integer p for which some of submatrix p x p of A has non-zero determinant. If A is square, with det(A) ≠ 0, the opposite of A is the number of lines (or columns).
Using just this definition of rank and properties of the determinants to simplify the calculations without scaling the matrix determine all possible values of the parameter t, for matrix A, then have rank 2.
Show mathematical argument and justify your answer
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