The Gateway to Computer Science Excellence
0 votes

The Algebraic multiplicity of the matrix A=  is

a) 1

b) 2

c) 3

d) 4

in Linear Algebra by Boss (32.5k points)
retagged by | 262 views

2 Answers

0 votes

Refer the video to understand algebraic multiplicity. And it is defined for each distinct eigen value. The characteristic equation is given by (a - 1)^3 = 0.

So it has only one distinct eigen value and it has algebraic multiplicity of 3 bcoz of term (a-1)^3.

Option C) 3 is the answer

by Boss (11.1k points)
0 votes
by Active (2.7k points)
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,645 questions
56,597 answers
102,126 users