Solving a matrix equation with overdetermined case
$begingroup$
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.
linear-algebra matrices systems-of-equations matrix-equations
asked Jan 7 at 14:10
UpstartUpstart
1,716618
$endgroup$
add a comment |
$begingroup$
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.
linear-algebra matrices systems-of-equations matrix-equations
asked Jan 7 at 14:10
UpstartUpstart
1,716618
$endgroup$
$begingroup$
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
add a comment |
$begingroup$
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.
linear-algebra matrices systems-of-equations matrix-equations
asked Jan 7 at 14:10
UpstartUpstart
1,716618
$endgroup$
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
linear-algebra matrices systems-of-equations matrix-equations
asked Jan 7 at 14:10
UpstartUpstart
1,716618
asked Jan 7 at 14:10
UpstartUpstart
1,716618
asked Jan 7 at 14:10
UpstartUpstart
1,716618
asked Jan 7 at 14:10
UpstartUpstart
1,716618
asked Jan 7 at 14:10
UpstartUpstart
1,716618
1,716618
$begingroup$
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
add a comment |
$begingroup$
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
add a comment |
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$begingroup$
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