The matrix of 5*5, then the input range is 0 ~ 4 private static void main (string [] args) { string A; string b; about (true) { console.writeline ("input a"); = console.readline (); console.writeline ("input B"); r n b = console.readline (); if (ISVALID (a)

The/incomplete matrix removal in matlab. You can use Help Mrdivide to see/help: >> help mrdivide

/Slash or Right Matrix Divide. a/b is the matrix division of. B into a, which is roughly the same as a*inv (b), except it is computed in a different way. more precisly, a/b = (ba).

M/b can be roughly regarded as A*INV (b), but it is another method. More precisely a/b = (ba).

then look at what Dongdong is. >> Help MLDIVIDE

backslash or left matrix divide. ab is the matrix division of a Into b, white is roughly the said as inv (A) (A) *B, Except it is computed in a different way. if a is an n-by-n matrix and b is a color with n , or a matrix with sectral color, then r. n x = AB is the solution to the equation a*x = b compute by gsesian. A warning message is printed if a is n badly scaled or nearly singular. Aeye (A)) The inverse of a.

if a is an m-by-n matrix with m u003Cor> n and b is a colorn vector with m, or a matrix with Several Such color, the x = ab is the solution in the least squares sense to the under-or system of equations a*x = b. the n effective rank, k, of a is from the qr with pivoting. a solution x is computed which has at most k nonzero per colleumn. If k u003Cn this will usually not n be the saMe solution as pinvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv *B. Aeye ( SIZE (a)) Process A inverse of a.

is to say that when A is a column vector of n lines n lines n lines, x = ab is the linear equation group A* X = B's solution, the algorithm is to eliminate the method with Gauss. Aeye (SIZE (a)) produces the counter -matrix of the square array A.

. If A is the matrix of M*n and m ≠ n, B is the same column vector of the same number (M line) of row (M line), x = ab is a non -ranking linear equation group A*x = B's solution, A's rank K is decomposed by QR. If K u003Cn usually results from PINV (A)*B (PINV (A) is a general reverse matrix of A). Aeye (SIZE (a)) gets a broad tactical matrix of A.

In short, AB is the solution of A*x = b. You can see it as a reverse matrix of A, but it is just a broad and reverse matrix, so that A is not a square matrix.

. As for A/B, use less in the linear equation group. Because B is usually written as a column vector, it is enough to use reaction. In/if/B is usually a row vector. This can be regarded as the solution of X*A = b, and the number of columns of B here is equal to the number of A.

ab = pinv (a)*b a/b = a*pinv (b)

For example: >> a = pascal ( 3) %a assignment is a square matrix of 3*3.

a =

1 1 3 1 3 6

>> [1: 3 ] % b is the column vector of 3*1.

B =

1 2 3

>> x = a % to seek AX = b The solution, the result x is a column vector, note that A is not BA

x =

0 0

>> a*x % Verify A*x just equal to B

Aans =

1 3

>> x = b/a % is except this time, but B is the line vector, A is also poured, it is B/A when it is removed, not A/B, the result X is a line vector

x =

0

>> x*a % to verify it, the same as B.

ANS =

1 2 3

>> a = rand (3,4) % of this time, A is not a square matrix,是3*4的矩阵rnrnA =rnrn 0.5298 0.3798 0.4611 0.0592rn 0.6405 0.7833 0.5678 0.6029rn 0.2091 0.6808 0.7942 0.0503rnr n >> x = A % The actual group does not have the only solution, but countless solutions, so the solution is a special solution nx = n -1.5132 4.9856 0 -1.5528

>> a*x % to verify, equal to B.

ANS =

1.0000 2.0000 3.0000

>> a = rand (3,2) % look at it again The matrix of 3*2, the number of rows> columns

a =

0.4154 0.0150 0.3050 0.7680 0.8744 0.9708

>> x = a

x =

1.8603 1.5902

>> a*x % to verify it, eh? Why is it not equal to B?

ANS =

0.7966 1.7886 3.1704

Because the number of equations (number of rows) is too large, the number of unknown (column) is too small, 2 unknown numbers, you can find the solution with 2 linear unrelated equations. Now there are many equations. So there is actually no solution, but Matlab uses a minimum dharma in the sense of approximate solution, so it ranges when verification, but it is as close as possible to meet all equations as much as possible.

DelbertThe matrix of 5*5, then the input range is 0 ~ 4

private static void main (string [] args)

{

string A;

string b;

about (true)

{

console.writeline ("input a");

= console.readline ();

console.writeline ("input B"); r n b = console.readline ();

if (ISVALID (a)

BradleyThe/incomplete matrix removal in matlab.

You can use Help Mrdivide to see/help:

>> help mrdivide

/Slash or Right Matrix Divide.

a/b is the matrix division of. B into a, which is roughly the

same as a*inv (b), except it is computed in a different way.

more precisly, a/b = (ba).

M/b can be roughly regarded as A*INV (b), but it is another method. More precisely a/b = (ba).

then look at what Dongdong is.

>> Help MLDIVIDE

backslash or left matrix divide.

ab is the matrix division of a Into b, white is roughly the

said as inv (A) (A) *B, Except it is computed in a different way.

if a is an n-by-n matrix and b is a color with n

, or a matrix with sectral color, then r. n x = AB is the solution to the equation a*x = b compute by

gsesian. A warning message is printed if a is n badly scaled or nearly singular. Aeye (A)) The

inverse of a.

if a is an m-by-n matrix with m u003Cor> n and b is a colorn

vector with m, or a matrix with Several Such color,

the x = ab is the solution in the least squares sense to the

under-or system of equations a*x = b. the n effective rank, k, of a is from the qr

with pivoting. a solution x is computed which has at most k

nonzero per colleumn. If k u003Cn this will usually not n be the saMe solution as pinvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv *B. Aeye ( SIZE (a)) Process A

inverse of a.

is to say that when A is a column vector of n lines n lines n lines, x = ab is the linear equation group A* X = B's solution, the algorithm is to eliminate the method with Gauss. Aeye (SIZE (a)) produces the counter -matrix of the square array A.

. If A is the matrix of M*n and m ≠ n, B is the same column vector of the same number (M line) of row (M line), x = ab is a non -ranking linear equation group A*x = B's solution, A's rank K is decomposed by QR. If K u003Cn usually results from PINV (A)*B (PINV (A) is a general reverse matrix of A). Aeye (SIZE (a)) gets a broad tactical matrix of A.

In short, AB is the solution of A*x = b. You can see it as a reverse matrix of A, but it is just a broad and reverse matrix, so that A is not a square matrix.

. As for A/B, use less in the linear equation group. Because B is usually written as a column vector, it is enough to use reaction. In/if/B is usually a row vector.

This can be regarded as the solution of X*A = b, and the number of columns of B here is equal to the number of A.

ab = pinv (a)*b

a/b = a*pinv (b)

For example:

>> a = pascal ( 3) %a assignment is a square matrix of 3*3.

a =

1 1

3

1 3 6

>> [1: 3 ] % b is the column vector of 3*1.

B =

1

2

3

>> x = a % to seek AX = b The solution, the result x is a column vector, note that A is not BA

x =

0

0

>> a*x % Verify A*x just equal to B

Aans =

1

3

>> x = b/a % is except this time, but B is the line vector, A is also poured, it is B/A when it is removed, not A/B, the result X is a line vector

x =

0

>> x*a % to verify it, the same as B.

ANS =

1 2 3

>> a = rand (3,4) % of this time, A is not a square matrix,是3*4的矩阵rnrnA =rnrn 0.5298 0.3798 0.4611 0.0592rn 0.6405 0.7833 0.5678 0.6029rn 0.2091 0.6808 0.7942 0.0503rnr n >> x = A % The actual group does not have the only solution, but countless solutions, so the solution is a special solution

nx =

n -1.5132

4.9856

0

-1.5528

>> a*x % to verify, equal to B.

ANS =

1.0000

2.0000

3.0000

>> a = rand (3,2) % look at it again The matrix of 3*2, the number of rows> columns

a =

0.4154 0.0150

0.3050 0.7680

0.8744 0.9708

>> x = a

x =

1.8603

1.5902

>> a*x % to verify it, eh? Why is it not equal to B?

ANS =

0.7966

1.7886

3.1704

Because the number of equations (number of rows) is too large, the number of unknown (column) is too small, 2 unknown numbers, you can find the solution with 2 linear unrelated equations. Now there are many equations. So there is actually no solution, but Matlab uses a minimum dharma in the sense of approximate solution, so it ranges when verification, but it is as close as possible to meet all equations as much as possible.