{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Engineering Calculus Notes 433

# Engineering Calculus Notes 433 - 421 4.1 LINEAR MAPPINGS...

This preview shows page 1. Sign up to view the full content.

4.1. LINEAR MAPPINGS 421 The respective matrix representatives are bracketleftbig L bracketrightbig = bracketleftbigg 1 1 0 0 1 1 bracketrightbigg , [ L ] = 1 1 1 1 2 1 so [ L ] · bracketleftbig L bracketrightbig = 1 1 1 1 2 1 · bracketleftbigg 1 1 0 0 1 1 bracketrightbigg = 1 0 1 1 2 1 2 2 1 and bracketleftbig L bracketrightbig · [ L ] = bracketleftbigg 1 1 0 0 1 1 bracketrightbigg · 1 1 1 1 2 1 = bracketleftbigg 2 0 3 2 bracketrightbigg . You should verify that these last two matrices are, in fact the matrix representatives of L L and L L , respectively. Exercises for § 4.1 Practice problems: 1. Which of the following maps are linear? Give the matrix representative for those which are linear. (a)
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online