{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

mat67-Homework5 - MAT067 University of California Davis...

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

View Full Document Right Arrow Icon
MAT067 University of California, Davis Winter 2007 Homework Set 5: Exercises on Matrices and Linear Maps Directions : Please work on all problems! Hand in solutions to the Calculational Problems 1, 2(i,m,r), 5(a), 6(a) and the Proof-Writing Problems 11 and 13 at the beginning of lecture on February 9, 2007. As usual, we are using F to denote either R or C . 1. Suppose that A , B , C , D , and E are matrices over F having the following sizes: A is 4 × 5 , B is 4 × 5 , C is 5 × 2 , D is 4 × 2 , E is 5 × 4 . Determine whether the following matrix expressions are defined, and, for those that are defined, determine the size of the resulting matrix. (a) BA (b) AC + D (c) AE + B (d) AB + B (e) E ( A + B ) (f) E ( AC ) 2. Suppose that A , B , C , D , and E are the following matrices: A = 3 0 1 2 1 1 , B = bracketleftbigg 4 1 0 2 bracketrightbigg , C = bracketleftbigg 1 4 2 3 1 5 bracketrightbigg , D = 1 5 2 1 0 1 3 2 4 , E = 6 1 3 1 1 2 4 1 3 . Determine whether the following matrix expressions are defined, and, for those that are defined, compute the resulting matrix. (a) D + E (b) D E (c) 5 A (d) 7 C (e) 2 B C (f) 2 E 2 D (g) 3( D + 2 E ) (h) A A (i) AB (j) BA (k) (3 E ) D (l) ( AB ) C (m) A ( BC ) (n) (4 B ) C + 2 B (o) D
Background image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}