MATH 461 Midterm: MATH461 BOYLE-M SUMMER I2006 0101 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 461
• Professor: All

Document Summary

Math 461 summer i 2006 exam 1. Put a box around your nal answer to each part. No proof is needed for true-false questions; just write clearly. A statement is true if it is true without exception. You may assume given matrix equations are well de ned (i. e. the matrix sizes are compatible). x: (10 pts) find all solutions for the following system of equations: 11x1 + 22x2 + 27x3 16x4 = 17. Show work: (12 pts) suppose t : r2 r2 is de ned by the rule. 2x1 + 5x2! (a) find the standard matrix for t (this is the matrix a such that t (x) = ax for all x). (b) find the inverse of this standard matrix a. 7!. (c) use the inverse matrix to solve t (x) = 21: (4 pts) suppose a, b and c are 5 5 invertible matrices.