Description
Exercises on multiplication and inverse matrices
Problem 3.1: Add AB to AC and compare with A(B + C) :
1 2 1 0 0 0 A = B = C = 3 4 0 0 5 6
Problem 3.2: (2.5 #24. Introduction to Linear Algebra: Strang) Use GaussJordan elimination on [U I] to find the upper triangular U−1 :
⎡ ⎤ ⎡ ⎤ ⎡ ⎤ 1 a b 1 0 0
UU−1 = I ⎣ 0 1 c ⎦ ⎣ x1 x2 x3 ⎦ = ⎣ 0 1 0 ⎦ .
0 0 1 0 0 1
1
18.06SC Linear Algebra
