If we multiply a row in a matrix A by a real number r, JAl changes in r.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 9E
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Which of the following are true?
If we multiply a row in a matrix A by a real number r, JAl changes in r.
If we swap two columns in A, JA| does not change sign.
If we multiply a column and a row in A, both by a real numberr, JAl changes in r times JA
If we divide a matrix with a scalar, division occurs only in one row or column
Transcribed Image Text:Which of the following are true? If we multiply a row in a matrix A by a real number r, JAl changes in r. If we swap two columns in A, JA| does not change sign. If we multiply a column and a row in A, both by a real numberr, JAl changes in r times JA If we divide a matrix with a scalar, division occurs only in one row or column
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