In Exercises 13–17 , determine conditions on the b i ’s, if any, in order to guarantee that the linear system is consistent. x 1 − x 2 + 3 x 3 + 2 x 4 = b 1 − 2 x 1 + x 2 + 5 x 3 + x 4 = b 2 − 3 x 1 + 2 x 2 + 2 x 3 − x 4 = b 3 4 x 1 − 3 x 2 + x 3 + 3 x 4 = b 4
In Exercises 13–17 , determine conditions on the b i ’s, if any, in order to guarantee that the linear system is consistent. x 1 − x 2 + 3 x 3 + 2 x 4 = b 1 − 2 x 1 + x 2 + 5 x 3 + x 4 = b 2 − 3 x 1 + 2 x 2 + 2 x 3 − x 4 = b 3 4 x 1 − 3 x 2 + x 3 + 3 x 4 = b 4
In Exercises 5–8, use the definition of Ax to write the matrix equation as a
vector equation, or vice versa.
5.
5 1 8 4
-2 -7 3 −5
5
-1
3
-2
=
-8
-
[18]
16
Find the determinants in Exercises 5–10 by row reduction to echelon form.
just number 7
Introductory and Intermediate Algebra for College Students (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.