(Find the mare general matrix M whose nulu space and couumn space are those found un (:)and (). (Iv) Gwen the additiondl information that a= 8 Ls one of the elganvouuer u M, find all the iganvauer of M and sate the geomeenc multypucuty t each eiganvoaue , explaining your answer

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Can you help with iii and iv please. Thanks!
6) Let M be a 4x4 symmetric matrx wndre row space Rs (M) is the subspace cf
R* given by
RS(M):
E IR X-X1=0, x2-x3 -0 and x31 X4: 0
%3D
) Express NCM), the nuu space of M, as tne unedr span of a suutable set
of vectors in TRt.
(1)
EXpress CS (M), the column space of M as Ene Lunear span Of a sutable set
Of vectors in R4.
( Find the mart general matrix M whose nuu space and couumn space are
those found un (:)and ().
(IV) Gwen the additiondl information that A8 S one of tne elganvouuer ut
M, find all the iganvauer of M and sate the geomeenc multypucuty
o
Ot each eiganvaue ,
explauning your answer.
Transcribed Image Text:6) Let M be a 4x4 symmetric matrx wndre row space Rs (M) is the subspace cf R* given by RS(M): E IR X-X1=0, x2-x3 -0 and x31 X4: 0 %3D ) Express NCM), the nuu space of M, as tne unedr span of a suutable set of vectors in TRt. (1) EXpress CS (M), the column space of M as Ene Lunear span Of a sutable set Of vectors in R4. ( Find the mart general matrix M whose nuu space and couumn space are those found un (:)and (). (IV) Gwen the additiondl information that A8 S one of tne elganvouuer ut M, find all the iganvauer of M and sate the geomeenc multypucuty o Ot each eiganvaue , explauning your answer.
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