MATRICES Flashcards
What is a Matrix?
rectagular array of elements
Operations that are needed to be performed on coordinates of points are
Linear operations
It is possible to add two matrices together
Only if they have the same dimensions
If two matrices don’t have the same size (dimensions)
They can’t be added, or we say the sum is not defined
When multiplying matrices
The column of the first matrix have the same size with the rows of the second matrix
The product of an (n x m) - matrix with a (m x q) matrix is
(n x q) matrix
Multiplying each entry of the matrix by a number
Scalar Multiplication
(A + B) + C = A + (B + C)
Associative
A + B = B + A
Commutative
A(B + C) = AB + AC
Distributive
(AB)C = A(BC)
Associative
AB ≠ BA
Non-commutative
Reverses the rows and columns or reflects the matrix along the leading diagonal
Transpose
Most important properties of square. Number obtained from the entries
Determinants
