Matrix subtraction is performed entrywise. Given two matrices of the same size, subtract the corresponding entry of the second matrix from the corresponding entry of the first matrix to get the result at that position.
Conditions: Both matrices must have identical dimensions.
Matrix subtraction is performed entrywise. Given two matrices of the same size, subtract the corresponding entry of the second matrix from the corresponding entry of the first matrix to get the result at that position.
Conditions: Both matrices must have identical dimensions.
Standard matrix addition and subtraction are defined for matching dimensions, because every position requires a corresponding entry. Different dimensions leave unmatched positions under this standard rule; a separately specified new convention would be a different operation.
Conditions: Matrices have different dimensions (e.g., one is 3x2 and the other is 2x2).
Standard matrix addition and subtraction are defined for matching dimensions, because every position requires a corresponding entry. Different dimensions leave unmatched positions under this standard rule; a separately specified new convention would be a different operation.
Conditions: Matrices have different dimensions (e.g., one is 3x2 and the other is 2x2).