This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: pr.4 (15 pts.) Let A be a 7 by 9 matrix with rank 4. Find (a) The number of pivot variables (b) The number of free variables (c) How many solutions does the system of equations Ax = have? (d) dim( N ( A T )) = pr.5 (10 pts.) Let A be a 3x2 matrix with rank 2. (a) How many pivots does A have? (b) Let R be the reduced echelon form of A . Which columns of R are the pivot columns? (c) Which rows of R are the pivot rows? (d) What are the values of the pivots of R ? (e) What are the values of the elements of R which are not pivots? (f) Write down the matrix R . pr.6 (20 pts.) Find the complete solution (also called general solution) to 12 3 1 37 11 3 49 14 4 x 1 x 2 x 3 x 4 = 4 14 18...
View
Full Document
 Spring '08
 Johnson,G
 Math, Linear Algebra, Algebra, Vector Space

Click to edit the document details