When finding the determinant using cofactor expansion, it is necessary to select the row or column with the greatest number of zeros or ones.
When finding the determinant using cofactor expansion, it is necessary to select the row or column with the greatest number of zeros or ones.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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![When finding the determinant using cofactor expansion, it is necessary to select the
row or column with the greatest number of zeros or ones.
If a matrix is augmented, then any row operation performed to the augmented matrix
must exclude the entries augmented to the original one.
If a square matrix n x n is multiplied to an n x m matrix, where m #n, then the
resulting matrix is always singular, and will always have a determinant equal to 0.
If a complex number z is situated along the real axis, then the complex conjugate is
always - Re(z).
D.A system of linear equations with a 0 determinant on its original matrix (i.e.,
coefficients of the unknowns) will yield to no solution for the values of the unknowns.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67227d3a-fbae-4721-8ec4-8b1d5881a929%2F56d32e9a-e627-4e57-8fe5-db8fbdaf3415%2Fg5tcimm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:When finding the determinant using cofactor expansion, it is necessary to select the
row or column with the greatest number of zeros or ones.
If a matrix is augmented, then any row operation performed to the augmented matrix
must exclude the entries augmented to the original one.
If a square matrix n x n is multiplied to an n x m matrix, where m #n, then the
resulting matrix is always singular, and will always have a determinant equal to 0.
If a complex number z is situated along the real axis, then the complex conjugate is
always - Re(z).
D.A system of linear equations with a 0 determinant on its original matrix (i.e.,
coefficients of the unknowns) will yield to no solution for the values of the unknowns.
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