(Iv) Gwen the additiondl information that A =8 Ls one of the elganvouuer uf M, find all the euganvauer of M and state the geometrni multypiuty of each eugantaui explauning your answeir. Hence And the numericau entrier of M

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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Can you help with iv and v please. Thanks!
) Let M be a 4x4 summetric matrix wndre now space RS (M) is the subspace CE
R* given by
RS (M):
O Express N(M), the nuu space of M, as ihe unear span Of a sultable set
of vectors in Rt.
(1)
Express Cs (M), the column space of M as the Lynear span of a sutable set
Of vectors in RA.
1) Find the mare general matrix M whose nuul space and coumn space are
those found in (:)and ().
V) Gwen the additiondl information that a=
M, Aind all the eiganvaluuer of M and state the geormetnc multipiuty
Of each eiganvalue, explauning your answer.
M one 어 tne egounvaumer 어
Hence ind the numericau entrier of M
Transcribed Image Text:) Let M be a 4x4 summetric matrix wndre now space RS (M) is the subspace CE R* given by RS (M): O Express N(M), the nuu space of M, as ihe unear span Of a sultable set of vectors in Rt. (1) Express Cs (M), the column space of M as the Lynear span of a sutable set Of vectors in RA. 1) Find the mare general matrix M whose nuul space and coumn space are those found in (:)and (). V) Gwen the additiondl information that a= M, Aind all the eiganvaluuer of M and state the geormetnc multipiuty Of each eiganvalue, explauning your answer. M one 어 tne egounvaumer 어 Hence ind the numericau entrier of M
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