Solution

Elementary Linear algebra

Chapter 1.2

Exercise 40

(a)

Step 1

Step 2


(b)

Step 1

Step 2

Step 3

we can write the above as

ax_{1}+bx_{2}+cx_{3}+dx_{4}+ex_{5}=f

and the general solution

x_{1}=\dfrac{1}{a}(bx_{2}+cx_{3}+dx_{4}+ex_{5}+f)

if we give every variable x from x_{2} to x_{5} we can see there can be as many as 4 parameters in the general solution

from above we can see there are 4 parameters


(c)


Step 1

Step 2

Step 3




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