Solving a matrix equation with overdetermined case












0












$begingroup$


I have a matrix equation $begin{bmatrix}
a& e& i\
b & f & j\
c & g &k\
d & h& lend{bmatrix}.B=begin{bmatrix}
d& c&i\
g&e&f\
a&f&h\
b&k&lend{bmatrix}$
, Here $B$ is $3times 3$ matrix. This becomes an overdetermined systems. Is there any solution, and if not what conditions can be imposed on the matrix entries for the solution to exist.










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$endgroup$












  • $begingroup$
    Is $B$ a known, matrix with numerical entries ?
    $endgroup$
    – Jean Marie
    Jan 7 at 18:34










  • $begingroup$
    Have a look at pseudo inverse
    $endgroup$
    – Damien
    Jan 7 at 19:15










  • $begingroup$
    $B$ is the transformation matrix that i need to calculate,it is unknown
    $endgroup$
    – Upstart
    Jan 7 at 19:29
















0












$begingroup$


I have a matrix equation $begin{bmatrix}
a& e& i\
b & f & j\
c & g &k\
d & h& lend{bmatrix}.B=begin{bmatrix}
d& c&i\
g&e&f\
a&f&h\
b&k&lend{bmatrix}$
, Here $B$ is $3times 3$ matrix. This becomes an overdetermined systems. Is there any solution, and if not what conditions can be imposed on the matrix entries for the solution to exist.










share|cite|improve this question









$endgroup$












  • $begingroup$
    Is $B$ a known, matrix with numerical entries ?
    $endgroup$
    – Jean Marie
    Jan 7 at 18:34










  • $begingroup$
    Have a look at pseudo inverse
    $endgroup$
    – Damien
    Jan 7 at 19:15










  • $begingroup$
    $B$ is the transformation matrix that i need to calculate,it is unknown
    $endgroup$
    – Upstart
    Jan 7 at 19:29














0












0








0





$begingroup$


I have a matrix equation $begin{bmatrix}
a& e& i\
b & f & j\
c & g &k\
d & h& lend{bmatrix}.B=begin{bmatrix}
d& c&i\
g&e&f\
a&f&h\
b&k&lend{bmatrix}$
, Here $B$ is $3times 3$ matrix. This becomes an overdetermined systems. Is there any solution, and if not what conditions can be imposed on the matrix entries for the solution to exist.










share|cite|improve this question









$endgroup$




I have a matrix equation $begin{bmatrix}
a& e& i\
b & f & j\
c & g &k\
d & h& lend{bmatrix}.B=begin{bmatrix}
d& c&i\
g&e&f\
a&f&h\
b&k&lend{bmatrix}$
, Here $B$ is $3times 3$ matrix. This becomes an overdetermined systems. Is there any solution, and if not what conditions can be imposed on the matrix entries for the solution to exist.







linear-algebra matrices systems-of-equations matrix-equations






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 7 at 14:10









UpstartUpstart

1,706617




1,706617












  • $begingroup$
    Is $B$ a known, matrix with numerical entries ?
    $endgroup$
    – Jean Marie
    Jan 7 at 18:34










  • $begingroup$
    Have a look at pseudo inverse
    $endgroup$
    – Damien
    Jan 7 at 19:15










  • $begingroup$
    $B$ is the transformation matrix that i need to calculate,it is unknown
    $endgroup$
    – Upstart
    Jan 7 at 19:29


















  • $begingroup$
    Is $B$ a known, matrix with numerical entries ?
    $endgroup$
    – Jean Marie
    Jan 7 at 18:34










  • $begingroup$
    Have a look at pseudo inverse
    $endgroup$
    – Damien
    Jan 7 at 19:15










  • $begingroup$
    $B$ is the transformation matrix that i need to calculate,it is unknown
    $endgroup$
    – Upstart
    Jan 7 at 19:29
















$begingroup$
Is $B$ a known, matrix with numerical entries ?
$endgroup$
– Jean Marie
Jan 7 at 18:34




$begingroup$
Is $B$ a known, matrix with numerical entries ?
$endgroup$
– Jean Marie
Jan 7 at 18:34












$begingroup$
Have a look at pseudo inverse
$endgroup$
– Damien
Jan 7 at 19:15




$begingroup$
Have a look at pseudo inverse
$endgroup$
– Damien
Jan 7 at 19:15












$begingroup$
$B$ is the transformation matrix that i need to calculate,it is unknown
$endgroup$
– Upstart
Jan 7 at 19:29




$begingroup$
$B$ is the transformation matrix that i need to calculate,it is unknown
$endgroup$
– Upstart
Jan 7 at 19:29










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