. For each of the following m × n matrices, independently compute the rank and nullity of the matrix and hence confirm the conservation of dimension formula: n = nullity + rank. (a) A₁ = (b) A₂ = (c) A3 : = 0 1 1 (H) 1 0 0 1 1 2 0-1 1 0 −1 1 1 5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 39EQ
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. For each of the following m x n matrices, independently compute the rank
and nullity of the matrix and hence confirm the conservation of dimension
formula: n = nullity + rank.
(a) A₁
=
(b) A₂ =
(c) A3
=
0 1 1
(H)
1 0
0
1
1 2
0-1
1
0
−1
1
1
5
Transcribed Image Text:. For each of the following m x n matrices, independently compute the rank and nullity of the matrix and hence confirm the conservation of dimension formula: n = nullity + rank. (a) A₁ = (b) A₂ = (c) A3 = 0 1 1 (H) 1 0 0 1 1 2 0-1 1 0 −1 1 1 5
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we need to find nullity without using n= nullity+ranks

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