Solution

Elementary Linear algebra

Chapter 1.2

Exercise 24

(a)

Step 1


The system is consistent and the solution is unique.
Step 3


(b)

Step 1


The system is consistent and the solution is unique.

(c)

Step 1


The system is inconsistent.
Step 3


Step 4


The given augmented matrix is inconsistent.

(d)

Step 1


⎣⎡​111​∗00​∗00​∗11​⎦⎤​r3​→r3​−r2​​=⎣⎡​110​∗00​∗00​∗10​⎦⎤​


Step 3

Step 4

Step 5

Step 6

Consistent with infinitely many solutions.


To Top