Show that the sum of two lower triangular matrices is a lower triangular. Show that the scalar multiple of a diagonal matrix is also a diagonal matrix. Show that if A is any mxn matrix, then I,mA= A.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 25E: Let A and B be square matrices of order n over Prove or disprove that the product AB is a diagonal...
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Show that the sum of two lower triangular matrices is a lower triangular.
Show that the scalar multiple of a diagonal matrix is also a diagonal matrix.
Show that if A is any mxn matrix, then ImA= A.
Transcribed Image Text:Show that the sum of two lower triangular matrices is a lower triangular. Show that the scalar multiple of a diagonal matrix is also a diagonal matrix. Show that if A is any mxn matrix, then ImA= A.
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