KIC000023

# KIC000023 - Matrix Operations Matrix Operations Since they...

This preview shows pages 1–2. Sign up to view the full content.

Matrix Operations Since they are both 2 x 2, we can add them: A+B=[; ~]+[~ ~]=[::] Or subtract one from the other: Matrix Operations Matrix Multiplication To multiply two matrices, the number of columns in the first must be the same as the number of rows in the second, in which case they are conformable for multiplication. A simple way to check the conformability of two matrices for multiplication is to write down the dimensions of the operation, for example (n x k) times (k x t). The inner dimensions must be equal. The result has dimensions equal to the outer values. That is, the result would have dimension (n x t). Example: Matrix Multiplication [ 2 0~4 I 3] MN= ~ ~p 7 2 [ 2.4+0.1 2·1+0·7 = 5·4+3·1 5·1+3·7 1·4+6·1 1·1+6·7 [ 8 2 6] = 23 26 21 10 43 15 2.3+0.2] 5·3+3·2 1·3+6·2 Matrix Operations Scalar Multiplication To multiply a matrix by a number - or in matrix terminology, by a scalar - is to multiply every element of that matrix by the given scalar. Example:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

KIC000023 - Matrix Operations Matrix Operations Since they...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online