Is there a good tutorial that describes all the possible element-by-element operations and conformability in GAUSS? I understand that they are more extensive than the standard case where the matrices have to be of the same size, but I cannot find a good tutorial on the internet to understand all the possible cases.
Any help would be greatly appreciated.
1 Answer
0
These videos, especially number 3, explain how matrix operations work in GAUSS
1. GAUSS Basics: Intro to Matrices.
2. GAUSS Basics: Matrix Operations.
3. GAUSS Basics: Element by Element Conformability.
Here are some of the main points:
- A scalar is Element-by-Element (ExE) conformable with a vector or matrix of any size.
- A vector or matrix will be ExE conformable of another vector or matrix with the same dimensions.
- A row vector is ExE conformable with a matrix that has the same number of columns as the row vector.
- A row vector is also ExE conformable with any column vector.
- A column vector is ExE conformable with a matrix that has the same number of rows as the column vector.
1. Scalar with Matrix or Vector
This is pretty straightforward and probably already known.
//Create a scalar s = 2.5; //Create a 2x2 matrix x = { 4 3, 2 1 }; out = s .* x;
out = 8 6
4 2
2. Vectors or matrices of the same size
This is also pretty straightforward and probably already known.
//Create a 2x2 a = { 5 4, 3 9 }; //Create a 2x2 matrix b = { 4 3, 2 1 }; out = a .* b;
out = 20 12
6 9
3. Row Vectors with a matrix with same number of columns
Each element of the row vector, a will multiply down a column of b.
//Create a 1x4 row vector a = { 5 4 3 9 }; //Create a 3x4 matrix b = { 4 3 2 7, 2 1 3 5, 10 9 8 1 }; out = a .* b;
out = 20 12 6 63
10 4 9 45
50 36 24 9
4. Row Vector with a column vector
The column vector b will be expanded to have as many columns as the row vector, a. Then each element of a will multiply down the newly expanded columns of b.
//Create a 1x4 row vector a = { 5 4 3 9 }; //Create a 3x1 matrix b = { 4, 2, 10 }; out = a .* b;
out = 20 16 12 36
10 8 6 18
50 40 30 90
Your Answer
1 Answer
These videos, especially number 3, explain how matrix operations work in GAUSS
1. GAUSS Basics: Intro to Matrices.
2. GAUSS Basics: Matrix Operations.
3. GAUSS Basics: Element by Element Conformability.
Here are some of the main points:
- A scalar is Element-by-Element (ExE) conformable with a vector or matrix of any size.
- A vector or matrix will be ExE conformable of another vector or matrix with the same dimensions.
- A row vector is ExE conformable with a matrix that has the same number of columns as the row vector.
- A row vector is also ExE conformable with any column vector.
- A column vector is ExE conformable with a matrix that has the same number of rows as the column vector.
1. Scalar with Matrix or Vector
This is pretty straightforward and probably already known.
//Create a scalar s = 2.5; //Create a 2x2 matrix x = { 4 3, 2 1 }; out = s .* x;
out = 8 6
4 2
2. Vectors or matrices of the same size
This is also pretty straightforward and probably already known.
//Create a 2x2 a = { 5 4, 3 9 }; //Create a 2x2 matrix b = { 4 3, 2 1 }; out = a .* b;
out = 20 12
6 9
3. Row Vectors with a matrix with same number of columns
Each element of the row vector, a will multiply down a column of b.
//Create a 1x4 row vector a = { 5 4 3 9 }; //Create a 3x4 matrix b = { 4 3 2 7, 2 1 3 5, 10 9 8 1 }; out = a .* b;
out = 20 12 6 63
10 4 9 45
50 36 24 9
4. Row Vector with a column vector
The column vector b will be expanded to have as many columns as the row vector, a. Then each element of a will multiply down the newly expanded columns of b.
//Create a 1x4 row vector a = { 5 4 3 9 }; //Create a 3x1 matrix b = { 4, 2, 10 }; out = a .* b;
out = 20 16 12 36
10 8 6 18
50 40 30 90